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Finding the Fourth Proportional to 156.48, 233.92 and 115.52

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Solution

The fourth proportional to 156.48, 233.92 and 115.52 is: 172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.48 : 233.92 = 115.52 : x
  2. Step 2: Convert to fraction form
    156.48/233.92 = 115.52/x
  3. Step 3: Cross multiply
    156.48x = 233.92 × 115.52
  4. Step 4: Simplify right side
    156.48x = 27,022.44
  5. Step 5: Solve for x
    x = 27,022.44/156.48
  6. Step 6: Final answer
    x = 172.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.