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Finding the Fourth Proportional to 542.42, 813.77 and 268.19

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Solution

The fourth proportional to 542.42, 813.77 and 268.19 is: 402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.42 : 813.77 = 268.19 : x
  2. Step 2: Convert to fraction form
    542.42/813.77 = 268.19/x
  3. Step 3: Cross multiply
    542.42x = 813.77 × 268.19
  4. Step 4: Simplify right side
    542.42x = 218,244.98
  5. Step 5: Solve for x
    x = 218,244.98/542.42
  6. Step 6: Final answer
    x = 402.35

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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.