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Finding the Fourth Proportional to 284.23, 425.71 and 147.41

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Solution

The fourth proportional to 284.23, 425.71 and 147.41 is: 220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.23 : 425.71 = 147.41 : x
  2. Step 2: Convert to fraction form
    284.23/425.71 = 147.41/x
  3. Step 3: Cross multiply
    284.23x = 425.71 × 147.41
  4. Step 4: Simplify right side
    284.23x = 62,751.05
  5. Step 5: Solve for x
    x = 62,751.05/284.23
  6. Step 6: Final answer
    x = 220.78

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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.