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Finding the Fourth Proportional to 515.13, 710.87 and 282.25

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Solution

The fourth proportional to 515.13, 710.87 and 282.25 is: 389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.13 : 710.87 = 282.25 : x
  2. Step 2: Convert to fraction form
    515.13/710.87 = 282.25/x
  3. Step 3: Cross multiply
    515.13x = 710.87 × 282.25
  4. Step 4: Simplify right side
    515.13x = 200,643.06
  5. Step 5: Solve for x
    x = 200,643.06/515.13
  6. Step 6: Final answer
    x = 389.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.