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Finding the Fourth Proportional to 542, 813.34 and 217.39

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Solution

The fourth proportional to 542, 813.34 and 217.39 is: 326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 813.34 = 217.39 : x
  2. Step 2: Convert to fraction form
    542/813.34 = 217.39/x
  3. Step 3: Cross multiply
    542x = 813.34 × 217.39
  4. Step 4: Simplify right side
    542x = 176,811.98
  5. Step 5: Solve for x
    x = 176,811.98/542
  6. Step 6: Final answer
    x = 326.22

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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.