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Finding the Fourth Proportional to 542.26, 748.04 and 321.05

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Solution

The fourth proportional to 542.26, 748.04 and 321.05 is: 442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.26 : 748.04 = 321.05 : x
  2. Step 2: Convert to fraction form
    542.26/748.04 = 321.05/x
  3. Step 3: Cross multiply
    542.26x = 748.04 × 321.05
  4. Step 4: Simplify right side
    542.26x = 240,158.51
  5. Step 5: Solve for x
    x = 240,158.51/542.26
  6. Step 6: Final answer
    x = 442.89

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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.