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Finding the Fourth Proportional to 402.39, 554.97 and 284.76

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Solution

The fourth proportional to 402.39, 554.97 and 284.76 is: 392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.39 : 554.97 = 284.76 : x
  2. Step 2: Convert to fraction form
    402.39/554.97 = 284.76/x
  3. Step 3: Cross multiply
    402.39x = 554.97 × 284.76
  4. Step 4: Simplify right side
    402.39x = 158,033.26
  5. Step 5: Solve for x
    x = 158,033.26/402.39
  6. Step 6: Final answer
    x = 392.74

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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.