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Finding the Fourth Proportional to 398.31, 549.78 and 265.72

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Solution

The fourth proportional to 398.31, 549.78 and 265.72 is: 366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.31 : 549.78 = 265.72 : x
  2. Step 2: Convert to fraction form
    398.31/549.78 = 265.72/x
  3. Step 3: Cross multiply
    398.31x = 549.78 × 265.72
  4. Step 4: Simplify right side
    398.31x = 146,088.56
  5. Step 5: Solve for x
    x = 146,088.56/398.31
  6. Step 6: Final answer
    x = 366.77

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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.