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Finding the Fourth Proportional to 542.98, 749.10 and 356.80

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Solution

The fourth proportional to 542.98, 749.10 and 356.80 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.98 : 749.10 = 356.80 : x
  2. Step 2: Convert to fraction form
    542.98/749.10 = 356.80/x
  3. Step 3: Cross multiply
    542.98x = 749.10 × 356.80
  4. Step 4: Simplify right side
    542.98x = 267,278.88
  5. Step 5: Solve for x
    x = 267,278.88/542.98
  6. Step 6: Final answer
    x = 492.24

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