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Finding the Fourth Proportional to 331.16, 456.78 and 232.76

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Solution

The fourth proportional to 331.16, 456.78 and 232.76 is: 321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.16 : 456.78 = 232.76 : x
  2. Step 2: Convert to fraction form
    331.16/456.78 = 232.76/x
  3. Step 3: Cross multiply
    331.16x = 456.78 × 232.76
  4. Step 4: Simplify right side
    331.16x = 106,320.11
  5. Step 5: Solve for x
    x = 106,320.11/331.16
  6. Step 6: Final answer
    x = 321.05

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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.