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Finding the Fourth Proportional to 275.58, 411.17 and 269.35

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Solution

The fourth proportional to 275.58, 411.17 and 269.35 is: 401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.58 : 411.17 = 269.35 : x
  2. Step 2: Convert to fraction form
    275.58/411.17 = 269.35/x
  3. Step 3: Cross multiply
    275.58x = 411.17 × 269.35
  4. Step 4: Simplify right side
    275.58x = 110,748.64
  5. Step 5: Solve for x
    x = 110,748.64/275.58
  6. Step 6: Final answer
    x = 401.87

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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.