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Finding the Fourth Proportional to 399.32, 551.16 and 282.92

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Solution

The fourth proportional to 399.32, 551.16 and 282.92 is: 390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.32 : 551.16 = 282.92 : x
  2. Step 2: Convert to fraction form
    399.32/551.16 = 282.92/x
  3. Step 3: Cross multiply
    399.32x = 551.16 × 282.92
  4. Step 4: Simplify right side
    399.32x = 155,934.19
  5. Step 5: Solve for x
    x = 155,934.19/399.32
  6. Step 6: Final answer
    x = 390.50

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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.