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Finding the Fourth Proportional to 174.98, 261.12 and 156.75

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Solution

The fourth proportional to 174.98, 261.12 and 156.75 is: 233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.98 : 261.12 = 156.75 : x
  2. Step 2: Convert to fraction form
    174.98/261.12 = 156.75/x
  3. Step 3: Cross multiply
    174.98x = 261.12 × 156.75
  4. Step 4: Simplify right side
    174.98x = 40,930.56
  5. Step 5: Solve for x
    x = 40,930.56/174.98
  6. Step 6: Final answer
    x = 233.92

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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.