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Finding the Fourth Proportional to 331.72, 457.08 and 265.96

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Solution

The fourth proportional to 331.72, 457.08 and 265.96 is: 366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.72 : 457.08 = 265.96 : x
  2. Step 2: Convert to fraction form
    331.72/457.08 = 265.96/x
  3. Step 3: Cross multiply
    331.72x = 457.08 × 265.96
  4. Step 4: Simplify right side
    331.72x = 121,565.00
  5. Step 5: Solve for x
    x = 121,565.00/331.72
  6. Step 6: Final answer
    x = 366.47

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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.