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Finding the Fourth Proportional to 239.48, 359.22 and 77.16

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Solution

The fourth proportional to 239.48, 359.22 and 77.16 is: 115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.48 : 359.22 = 77.16 : x
  2. Step 2: Convert to fraction form
    239.48/359.22 = 77.16/x
  3. Step 3: Cross multiply
    239.48x = 359.22 × 77.16
  4. Step 4: Simplify right side
    239.48x = 27,717.42
  5. Step 5: Solve for x
    x = 27,717.42/239.48
  6. Step 6: Final answer
    x = 115.74

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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.