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Finding the Fourth Proportional to 362.12, 542.94 and 130.90

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Solution

The fourth proportional to 362.12, 542.94 and 130.90 is: 196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.12 : 542.94 = 130.90 : x
  2. Step 2: Convert to fraction form
    362.12/542.94 = 130.90/x
  3. Step 3: Cross multiply
    362.12x = 542.94 × 130.90
  4. Step 4: Simplify right side
    362.12x = 71,070.85
  5. Step 5: Solve for x
    x = 71,070.85/362.12
  6. Step 6: Final answer
    x = 196.26

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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.