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Finding the Fourth Proportional to 542.49, 813.73 and 360.24

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Solution

The fourth proportional to 542.49, 813.73 and 360.24 is: 540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.49 : 813.73 = 360.24 : x
  2. Step 2: Convert to fraction form
    542.49/813.73 = 360.24/x
  3. Step 3: Cross multiply
    542.49x = 813.73 × 360.24
  4. Step 4: Simplify right side
    542.49x = 293,138.10
  5. Step 5: Solve for x
    x = 293,138.10/542.49
  6. Step 6: Final answer
    x = 540.36

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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.