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Finding the Fourth Proportional to 150.34, 224.19 and 148.97

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Solution

The fourth proportional to 150.34, 224.19 and 148.97 is: 222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.34 : 224.19 = 148.97 : x
  2. Step 2: Convert to fraction form
    150.34/224.19 = 148.97/x
  3. Step 3: Cross multiply
    150.34x = 224.19 × 148.97
  4. Step 4: Simplify right side
    150.34x = 33,397.58
  5. Step 5: Solve for x
    x = 33,397.58/150.34
  6. Step 6: Final answer
    x = 222.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.