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Finding the Fourth Proportional to 154.77, 231.75 and 118.86

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Solution

The fourth proportional to 154.77, 231.75 and 118.86 is: 177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.77 : 231.75 = 118.86 : x
  2. Step 2: Convert to fraction form
    154.77/231.75 = 118.86/x
  3. Step 3: Cross multiply
    154.77x = 231.75 × 118.86
  4. Step 4: Simplify right side
    154.77x = 27,545.81
  5. Step 5: Solve for x
    x = 27,545.81/154.77
  6. Step 6: Final answer
    x = 177.98

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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.