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Finding the Fourth Proportional to 174.10, 261.14 and 45.85

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Solution

The fourth proportional to 174.10, 261.14 and 45.85 is: 68.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.10 : 261.14 = 45.85 : x
  2. Step 2: Convert to fraction form
    174.10/261.14 = 45.85/x
  3. Step 3: Cross multiply
    174.10x = 261.14 × 45.85
  4. Step 4: Simplify right side
    174.10x = 11,972.73
  5. Step 5: Solve for x
    x = 11,972.73/174.10
  6. Step 6: Final answer
    x = 68.77

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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.