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Finding the Fourth Proportional to 153.77, 212.05 and 125.97

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Solution

The fourth proportional to 153.77, 212.05 and 125.97 is: 173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.77 : 212.05 = 125.97 : x
  2. Step 2: Convert to fraction form
    153.77/212.05 = 125.97/x
  3. Step 3: Cross multiply
    153.77x = 212.05 × 125.97
  4. Step 4: Simplify right side
    153.77x = 26,711.30
  5. Step 5: Solve for x
    x = 26,711.30/153.77
  6. Step 6: Final answer
    x = 173.72

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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.