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Finding the Fourth Proportional to 232.47, 321.01 and 159.00

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Solution

The fourth proportional to 232.47, 321.01 and 159.00 is: 219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 321.01 = 159.00 : x
  2. Step 2: Convert to fraction form
    232.47/321.01 = 159.00/x
  3. Step 3: Cross multiply
    232.47x = 321.01 × 159.00
  4. Step 4: Simplify right side
    232.47x = 51,038.99
  5. Step 5: Solve for x
    x = 51,038.99/232.47
  6. Step 6: Final answer
    x = 219.55

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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.