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Finding the Fourth Proportional to 152.74, 211.17 and 113.86

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Solution

The fourth proportional to 152.74, 211.17 and 113.86 is: 157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.74 : 211.17 = 113.86 : x
  2. Step 2: Convert to fraction form
    152.74/211.17 = 113.86/x
  3. Step 3: Cross multiply
    152.74x = 211.17 × 113.86
  4. Step 4: Simplify right side
    152.74x = 24,043.82
  5. Step 5: Solve for x
    x = 24,043.82/152.74
  6. Step 6: Final answer
    x = 157.42

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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.