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Finding the Fourth Proportional to 542.90, 749.22 and 321.98

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Solution

The fourth proportional to 542.90, 749.22 and 321.98 is: 444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.90 : 749.22 = 321.98 : x
  2. Step 2: Convert to fraction form
    542.90/749.22 = 321.98/x
  3. Step 3: Cross multiply
    542.90x = 749.22 × 321.98
  4. Step 4: Simplify right side
    542.90x = 241,233.86
  5. Step 5: Solve for x
    x = 241,233.86/542.90
  6. Step 6: Final answer
    x = 444.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.