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Finding the Fourth Proportional to 510.59, 766.09 and 218.16

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Solution

The fourth proportional to 510.59, 766.09 and 218.16 is: 327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.59 : 766.09 = 218.16 : x
  2. Step 2: Convert to fraction form
    510.59/766.09 = 218.16/x
  3. Step 3: Cross multiply
    510.59x = 766.09 × 218.16
  4. Step 4: Simplify right side
    510.59x = 167,130.19
  5. Step 5: Solve for x
    x = 167,130.19/510.59
  6. Step 6: Final answer
    x = 327.33

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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.