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Finding the Fourth Proportional to 542.72, 749.20 and 346.50

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Solution

The fourth proportional to 542.72, 749.20 and 346.50 is: 478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.72 : 749.20 = 346.50 : x
  2. Step 2: Convert to fraction form
    542.72/749.20 = 346.50/x
  3. Step 3: Cross multiply
    542.72x = 749.20 × 346.50
  4. Step 4: Simplify right side
    542.72x = 259,597.80
  5. Step 5: Solve for x
    x = 259,597.80/542.72
  6. Step 6: Final answer
    x = 478.33

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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.