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Finding the Fourth Proportional to 175.31, 262.76 and 77.79

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Solution

The fourth proportional to 175.31, 262.76 and 77.79 is: 116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.31 : 262.76 = 77.79 : x
  2. Step 2: Convert to fraction form
    175.31/262.76 = 77.79/x
  3. Step 3: Cross multiply
    175.31x = 262.76 × 77.79
  4. Step 4: Simplify right side
    175.31x = 20,439.71
  5. Step 5: Solve for x
    x = 20,439.71/175.31
  6. Step 6: Final answer
    x = 116.60

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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.