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Finding the Fourth Proportional to 331.23, 457.65 and 261.82

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Solution

The fourth proportional to 331.23, 457.65 and 261.82 is: 361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.23 : 457.65 = 261.82 : x
  2. Step 2: Convert to fraction form
    331.23/457.65 = 261.82/x
  3. Step 3: Cross multiply
    331.23x = 457.65 × 261.82
  4. Step 4: Simplify right side
    331.23x = 119,820.61
  5. Step 5: Solve for x
    x = 119,820.61/331.23
  6. Step 6: Final answer
    x = 361.74

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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.