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Finding the Fourth Proportional to 515.65, 711.60 and 282.78

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Solution

The fourth proportional to 515.65, 711.60 and 282.78 is: 390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.65 : 711.60 = 282.78 : x
  2. Step 2: Convert to fraction form
    515.65/711.60 = 282.78/x
  3. Step 3: Cross multiply
    515.65x = 711.60 × 282.78
  4. Step 4: Simplify right side
    515.65x = 201,226.25
  5. Step 5: Solve for x
    x = 201,226.25/515.65
  6. Step 6: Final answer
    x = 390.24

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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.