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Finding the Fourth Proportional to 174.66, 241.18 and 130.92

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Solution

The fourth proportional to 174.66, 241.18 and 130.92 is: 180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.66 : 241.18 = 130.92 : x
  2. Step 2: Convert to fraction form
    174.66/241.18 = 130.92/x
  3. Step 3: Cross multiply
    174.66x = 241.18 × 130.92
  4. Step 4: Simplify right side
    174.66x = 31,574.05
  5. Step 5: Solve for x
    x = 31,574.05/174.66
  6. Step 6: Final answer
    x = 180.78

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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.