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Finding the Fourth Proportional to 231.78, 347.66 and 77.72

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Solution

The fourth proportional to 231.78, 347.66 and 77.72 is: 116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.78 : 347.66 = 77.72 : x
  2. Step 2: Convert to fraction form
    231.78/347.66 = 77.72/x
  3. Step 3: Cross multiply
    231.78x = 347.66 × 77.72
  4. Step 4: Simplify right side
    231.78x = 27,019.75
  5. Step 5: Solve for x
    x = 27,019.75/231.78
  6. Step 6: Final answer
    x = 116.57

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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.