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Finding the Fourth Proportional to 542.78, 749.06 and 343.54

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Solution

The fourth proportional to 542.78, 749.06 and 343.54 is: 474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.78 : 749.06 = 343.54 : x
  2. Step 2: Convert to fraction form
    542.78/749.06 = 343.54/x
  3. Step 3: Cross multiply
    542.78x = 749.06 × 343.54
  4. Step 4: Simplify right side
    542.78x = 257,332.58
  5. Step 5: Solve for x
    x = 257,332.58/542.78
  6. Step 6: Final answer
    x = 474.10

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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.