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Finding the Fourth Proportional to 231.84, 347.67 and 77.76

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Solution

The fourth proportional to 231.84, 347.67 and 77.76 is: 116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.84 : 347.67 = 77.76 : x
  2. Step 2: Convert to fraction form
    231.84/347.67 = 77.76/x
  3. Step 3: Cross multiply
    231.84x = 347.67 × 77.76
  4. Step 4: Simplify right side
    231.84x = 27,034.82
  5. Step 5: Solve for x
    x = 27,034.82/231.84
  6. Step 6: Final answer
    x = 116.61

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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.