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Finding the Fourth Proportional to 275.46, 411.13 and 253.76

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Solution

The fourth proportional to 275.46, 411.13 and 253.76 is: 378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.46 : 411.13 = 253.76 : x
  2. Step 2: Convert to fraction form
    275.46/411.13 = 253.76/x
  3. Step 3: Cross multiply
    275.46x = 411.13 × 253.76
  4. Step 4: Simplify right side
    275.46x = 104,328.35
  5. Step 5: Solve for x
    x = 104,328.35/275.46
  6. Step 6: Final answer
    x = 378.74

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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.