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Finding the Fourth Proportional to 174.72, 241.28 and 130.98

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Solution

The fourth proportional to 174.72, 241.28 and 130.98 is: 180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.72 : 241.28 = 130.98 : x
  2. Step 2: Convert to fraction form
    174.72/241.28 = 130.98/x
  3. Step 3: Cross multiply
    174.72x = 241.28 × 130.98
  4. Step 4: Simplify right side
    174.72x = 31,602.20
  5. Step 5: Solve for x
    x = 31,602.20/174.72
  6. Step 6: Final answer
    x = 180.87

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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.