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Finding the Fourth Proportional to 176.31, 263.02 and 155.80

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Solution

The fourth proportional to 176.31, 263.02 and 155.80 is: 232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.31 : 263.02 = 155.80 : x
  2. Step 2: Convert to fraction form
    176.31/263.02 = 155.80/x
  3. Step 3: Cross multiply
    176.31x = 263.02 × 155.80
  4. Step 4: Simplify right side
    176.31x = 40,978.52
  5. Step 5: Solve for x
    x = 40,978.52/176.31
  6. Step 6: Final answer
    x = 232.42

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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.