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Finding the Fourth Proportional to 542.21, 813.32 and 217.50

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Solution

The fourth proportional to 542.21, 813.32 and 217.50 is: 326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.21 : 813.32 = 217.50 : x
  2. Step 2: Convert to fraction form
    542.21/813.32 = 217.50/x
  3. Step 3: Cross multiply
    542.21x = 813.32 × 217.50
  4. Step 4: Simplify right side
    542.21x = 176,896.01
  5. Step 5: Solve for x
    x = 176,896.01/542.21
  6. Step 6: Final answer
    x = 326.25

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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.