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Finding the Fourth Proportional to 154.21, 231.36 and 77.17

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Solution

The fourth proportional to 154.21, 231.36 and 77.17 is: 115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.21 : 231.36 = 77.17 : x
  2. Step 2: Convert to fraction form
    154.21/231.36 = 77.17/x
  3. Step 3: Cross multiply
    154.21x = 231.36 × 77.17
  4. Step 4: Simplify right side
    154.21x = 17,853.67
  5. Step 5: Solve for x
    x = 17,853.67/154.21
  6. Step 6: Final answer
    x = 115.78

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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.