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Finding the Fourth Proportional to 174.60, 241.10 and 130.86

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Solution

The fourth proportional to 174.60, 241.10 and 130.86 is: 180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.60 : 241.10 = 130.86 : x
  2. Step 2: Convert to fraction form
    174.60/241.10 = 130.86/x
  3. Step 3: Cross multiply
    174.60x = 241.10 × 130.86
  4. Step 4: Simplify right side
    174.60x = 31,549.47
  5. Step 5: Solve for x
    x = 31,549.47/174.60
  6. Step 6: Final answer
    x = 180.70

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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.