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Finding the Fourth Proportional to 150.40, 207.12 and 126.80

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Solution

The fourth proportional to 150.40, 207.12 and 126.80 is: 174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.40 : 207.12 = 126.80 : x
  2. Step 2: Convert to fraction form
    150.40/207.12 = 126.80/x
  3. Step 3: Cross multiply
    150.40x = 207.12 × 126.80
  4. Step 4: Simplify right side
    150.40x = 26,262.82
  5. Step 5: Solve for x
    x = 26,262.82/150.40
  6. Step 6: Final answer
    x = 174.62

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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.