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Finding the Fourth Proportional to 510.90, 766.36 and 145.67

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Solution

The fourth proportional to 510.90, 766.36 and 145.67 is: 218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 766.36 = 145.67 : x
  2. Step 2: Convert to fraction form
    510.90/766.36 = 145.67/x
  3. Step 3: Cross multiply
    510.90x = 766.36 × 145.67
  4. Step 4: Simplify right side
    510.90x = 111,637.21
  5. Step 5: Solve for x
    x = 111,637.21/510.90
  6. Step 6: Final answer
    x = 218.51

Related Problems

Find fourth proportional to 255.45, 383.18 and 72.84
Half scale
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Double scale
Find fourth proportional to 511.90, 767.86 and 146.67
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.