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Finding the Fourth Proportional to 398.29, 549.84 and 265.73

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Solution

The fourth proportional to 398.29, 549.84 and 265.73 is: 366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.29 : 549.84 = 265.73 : x
  2. Step 2: Convert to fraction form
    398.29/549.84 = 265.73/x
  3. Step 3: Cross multiply
    398.29x = 549.84 × 265.73
  4. Step 4: Simplify right side
    398.29x = 146,108.98
  5. Step 5: Solve for x
    x = 146,108.98/398.29
  6. Step 6: Final answer
    x = 366.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.