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Finding the Fourth Proportional to 274.20, 409.52 and 237.76

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Solution

The fourth proportional to 274.20, 409.52 and 237.76 is: 355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.20 : 409.52 = 237.76 : x
  2. Step 2: Convert to fraction form
    274.20/409.52 = 237.76/x
  3. Step 3: Cross multiply
    274.20x = 409.52 × 237.76
  4. Step 4: Simplify right side
    274.20x = 97,367.48
  5. Step 5: Solve for x
    x = 97,367.48/274.20
  6. Step 6: Final answer
    x = 355.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.