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Finding the Fourth Proportional to 389.62, 537.14 and 284.72

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Solution

The fourth proportional to 389.62, 537.14 and 284.72 is: 392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.62 : 537.14 = 284.72 : x
  2. Step 2: Convert to fraction form
    389.62/537.14 = 284.72/x
  3. Step 3: Cross multiply
    389.62x = 537.14 × 284.72
  4. Step 4: Simplify right side
    389.62x = 152,932.53
  5. Step 5: Solve for x
    x = 152,932.53/389.62
  6. Step 6: Final answer
    x = 392.52

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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.