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Finding the Fourth Proportional to 265.76, 398.57 and 143.96

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Solution

The fourth proportional to 265.76, 398.57 and 143.96 is: 215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.76 : 398.57 = 143.96 : x
  2. Step 2: Convert to fraction form
    265.76/398.57 = 143.96/x
  3. Step 3: Cross multiply
    265.76x = 398.57 × 143.96
  4. Step 4: Simplify right side
    265.76x = 57,375.42
  5. Step 5: Solve for x
    x = 57,375.42/265.76
  6. Step 6: Final answer
    x = 215.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.