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Finding the Fourth Proportional to 392.68, 542.10 and 276.76

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Solution

The fourth proportional to 392.68, 542.10 and 276.76 is: 382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.68 : 542.10 = 276.76 : x
  2. Step 2: Convert to fraction form
    392.68/542.10 = 276.76/x
  3. Step 3: Cross multiply
    392.68x = 542.10 × 276.76
  4. Step 4: Simplify right side
    392.68x = 150,031.60
  5. Step 5: Solve for x
    x = 150,031.60/392.68
  6. Step 6: Final answer
    x = 382.07

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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.