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Finding the Fourth Proportional to 510.13, 765.19 and 168.13

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Solution

The fourth proportional to 510.13, 765.19 and 168.13 is: 252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.13 : 765.19 = 168.13 : x
  2. Step 2: Convert to fraction form
    510.13/765.19 = 168.13/x
  3. Step 3: Cross multiply
    510.13x = 765.19 × 168.13
  4. Step 4: Simplify right side
    510.13x = 128,647.57
  5. Step 5: Solve for x
    x = 128,647.57/510.13
  6. Step 6: Final answer
    x = 252.19

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Half scale
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Double scale
Find fourth proportional to 511.13, 766.69 and 169.13
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.