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Finding the Fourth Proportional to 542.03, 813.04 and 234.10

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Solution

The fourth proportional to 542.03, 813.04 and 234.10 is: 351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.03 : 813.04 = 234.10 : x
  2. Step 2: Convert to fraction form
    542.03/813.04 = 234.10/x
  3. Step 3: Cross multiply
    542.03x = 813.04 × 234.10
  4. Step 4: Simplify right side
    542.03x = 190,332.66
  5. Step 5: Solve for x
    x = 190,332.66/542.03
  6. Step 6: Final answer
    x = 351.15

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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.