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Finding the Fourth Proportional to 542.61, 812.70 and 268.10

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Solution

The fourth proportional to 542.61, 812.70 and 268.10 is: 401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.61 : 812.70 = 268.10 : x
  2. Step 2: Convert to fraction form
    542.61/812.70 = 268.10/x
  3. Step 3: Cross multiply
    542.61x = 812.70 × 268.10
  4. Step 4: Simplify right side
    542.61x = 217,884.87
  5. Step 5: Solve for x
    x = 217,884.87/542.61
  6. Step 6: Final answer
    x = 401.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.