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Finding the Fourth Proportional to 881.32, 1,321.99 and 232.06

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Solution

The fourth proportional to 881.32, 1,321.99 and 232.06 is: 348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.32 : 1,321.99 = 232.06 : x
  2. Step 2: Convert to fraction form
    881.32/1,321.99 = 232.06/x
  3. Step 3: Cross multiply
    881.32x = 1,321.99 × 232.06
  4. Step 4: Simplify right side
    881.32x = 306,781.00
  5. Step 5: Solve for x
    x = 306,781.00/881.32
  6. Step 6: Final answer
    x = 348.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.