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Finding the Fourth Proportional to 542.75, 813.84 and 234.19

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Solution

The fourth proportional to 542.75, 813.84 and 234.19 is: 351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 813.84 = 234.19 : x
  2. Step 2: Convert to fraction form
    542.75/813.84 = 234.19/x
  3. Step 3: Cross multiply
    542.75x = 813.84 × 234.19
  4. Step 4: Simplify right side
    542.75x = 190,589.12
  5. Step 5: Solve for x
    x = 190,589.12/542.75
  6. Step 6: Final answer
    x = 351.16

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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.