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Finding the Fourth Proportional to 152.97, 211.32 and 125.70

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Solution

The fourth proportional to 152.97, 211.32 and 125.70 is: 173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.97 : 211.32 = 125.70 : x
  2. Step 2: Convert to fraction form
    152.97/211.32 = 125.70/x
  3. Step 3: Cross multiply
    152.97x = 211.32 × 125.70
  4. Step 4: Simplify right side
    152.97x = 26,562.92
  5. Step 5: Solve for x
    x = 26,562.92/152.97
  6. Step 6: Final answer
    x = 173.65

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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.