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Finding the Fourth Proportional to 284.53, 392.55 and 160.17

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Solution

The fourth proportional to 284.53, 392.55 and 160.17 is: 220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.53 : 392.55 = 160.17 : x
  2. Step 2: Convert to fraction form
    284.53/392.55 = 160.17/x
  3. Step 3: Cross multiply
    284.53x = 392.55 × 160.17
  4. Step 4: Simplify right side
    284.53x = 62,874.73
  5. Step 5: Solve for x
    x = 62,874.73/284.53
  6. Step 6: Final answer
    x = 220.98

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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.