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Finding the Fourth Proportional to 150.39, 224.64 and 137.70

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Solution

The fourth proportional to 150.39, 224.64 and 137.70 is: 205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.39 : 224.64 = 137.70 : x
  2. Step 2: Convert to fraction form
    150.39/224.64 = 137.70/x
  3. Step 3: Cross multiply
    150.39x = 224.64 × 137.70
  4. Step 4: Simplify right side
    150.39x = 30,932.93
  5. Step 5: Solve for x
    x = 30,932.93/150.39
  6. Step 6: Final answer
    x = 205.68

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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.