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Finding the Fourth Proportional to 393.67, 542.55 and 275.41

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Solution

The fourth proportional to 393.67, 542.55 and 275.41 is: 379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.67 : 542.55 = 275.41 : x
  2. Step 2: Convert to fraction form
    393.67/542.55 = 275.41/x
  3. Step 3: Cross multiply
    393.67x = 542.55 × 275.41
  4. Step 4: Simplify right side
    393.67x = 149,423.70
  5. Step 5: Solve for x
    x = 149,423.70/393.67
  6. Step 6: Final answer
    x = 379.57

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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.