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Finding the Fourth Proportional to 284.16, 424.96 and 168.28

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Solution

The fourth proportional to 284.16, 424.96 and 168.28 is: 251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 424.96 = 168.28 : x
  2. Step 2: Convert to fraction form
    284.16/424.96 = 168.28/x
  3. Step 3: Cross multiply
    284.16x = 424.96 × 168.28
  4. Step 4: Simplify right side
    284.16x = 71,512.27
  5. Step 5: Solve for x
    x = 71,512.27/284.16
  6. Step 6: Final answer
    x = 251.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.