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Finding the Fourth Proportional to 154.62, 231.47 and 113.77

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Solution

The fourth proportional to 154.62, 231.47 and 113.77 is: 170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.62 : 231.47 = 113.77 : x
  2. Step 2: Convert to fraction form
    154.62/231.47 = 113.77/x
  3. Step 3: Cross multiply
    154.62x = 231.47 × 113.77
  4. Step 4: Simplify right side
    154.62x = 26,333.83
  5. Step 5: Solve for x
    x = 26,333.83/154.62
  6. Step 6: Final answer
    x = 170.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.