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Finding the Fourth Proportional to 249.84, 375.47 and 147.14

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Solution

The fourth proportional to 249.84, 375.47 and 147.14 is: 221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.84 : 375.47 = 147.14 : x
  2. Step 2: Convert to fraction form
    249.84/375.47 = 147.14/x
  3. Step 3: Cross multiply
    249.84x = 375.47 × 147.14
  4. Step 4: Simplify right side
    249.84x = 55,246.00
  5. Step 5: Solve for x
    x = 55,246.00/249.84
  6. Step 6: Final answer
    x = 221.13

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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.