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Finding the Fourth Proportional to 284.43, 426.50 and 147.44

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Solution

The fourth proportional to 284.43, 426.50 and 147.44 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.43 : 426.50 = 147.44 : x
  2. Step 2: Convert to fraction form
    284.43/426.50 = 147.44/x
  3. Step 3: Cross multiply
    284.43x = 426.50 × 147.44
  4. Step 4: Simplify right side
    284.43x = 62,881.40
  5. Step 5: Solve for x
    x = 62,881.40/284.43
  6. Step 6: Final answer
    x = 221.08

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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.