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Finding the Fourth Proportional to 284.32, 427.26 and 147.48

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Solution

The fourth proportional to 284.32, 427.26 and 147.48 is: 221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.32 : 427.26 = 147.48 : x
  2. Step 2: Convert to fraction form
    284.32/427.26 = 147.48/x
  3. Step 3: Cross multiply
    284.32x = 427.26 × 147.48
  4. Step 4: Simplify right side
    284.32x = 63,010.17
  5. Step 5: Solve for x
    x = 63,010.17/284.32
  6. Step 6: Final answer
    x = 221.62

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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.