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Finding the Fourth Proportional to 174.62, 240.81 and 116.30

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Solution

The fourth proportional to 174.62, 240.81 and 116.30 is: 160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.62 : 240.81 = 116.30 : x
  2. Step 2: Convert to fraction form
    174.62/240.81 = 116.30/x
  3. Step 3: Cross multiply
    174.62x = 240.81 × 116.30
  4. Step 4: Simplify right side
    174.62x = 28,006.20
  5. Step 5: Solve for x
    x = 28,006.20/174.62
  6. Step 6: Final answer
    x = 160.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.