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Finding the Fourth Proportional to 265.95, 398.24 and 162.92

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Solution

The fourth proportional to 265.95, 398.24 and 162.92 is: 243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.95 : 398.24 = 162.92 : x
  2. Step 2: Convert to fraction form
    265.95/398.24 = 162.92/x
  3. Step 3: Cross multiply
    265.95x = 398.24 × 162.92
  4. Step 4: Simplify right side
    265.95x = 64,882.66
  5. Step 5: Solve for x
    x = 64,882.66/265.95
  6. Step 6: Final answer
    x = 243.96

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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.