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Finding the Fourth Proportional to 284.69, 392.87 and 160.35

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Solution

The fourth proportional to 284.69, 392.87 and 160.35 is: 221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.69 : 392.87 = 160.35 : x
  2. Step 2: Convert to fraction form
    284.69/392.87 = 160.35/x
  3. Step 3: Cross multiply
    284.69x = 392.87 × 160.35
  4. Step 4: Simplify right side
    284.69x = 62,996.30
  5. Step 5: Solve for x
    x = 62,996.30/284.69
  6. Step 6: Final answer
    x = 221.28

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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.