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Finding the Fourth Proportional to 275.20, 411.01 and 238.76

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Solution

The fourth proportional to 275.20, 411.01 and 238.76 is: 356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.20 : 411.01 = 238.76 : x
  2. Step 2: Convert to fraction form
    275.20/411.01 = 238.76/x
  3. Step 3: Cross multiply
    275.20x = 411.01 × 238.76
  4. Step 4: Simplify right side
    275.20x = 98,132.75
  5. Step 5: Solve for x
    x = 98,132.75/275.20
  6. Step 6: Final answer
    x = 356.59

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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.