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Finding the Fourth Proportional to 150.74, 207.90 and 126.70

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Solution

The fourth proportional to 150.74, 207.90 and 126.70 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.74 : 207.90 = 126.70 : x
  2. Step 2: Convert to fraction form
    150.74/207.90 = 126.70/x
  3. Step 3: Cross multiply
    150.74x = 207.90 × 126.70
  4. Step 4: Simplify right side
    150.74x = 26,341.16
  5. Step 5: Solve for x
    x = 26,341.16/150.74
  6. Step 6: Final answer
    x = 174.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.