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Finding the Fourth Proportional to 232.13, 321.06 and 215.93

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Solution

The fourth proportional to 232.13, 321.06 and 215.93 is: 298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.13 : 321.06 = 215.93 : x
  2. Step 2: Convert to fraction form
    232.13/321.06 = 215.93/x
  3. Step 3: Cross multiply
    232.13x = 321.06 × 215.93
  4. Step 4: Simplify right side
    232.13x = 69,328.10
  5. Step 5: Solve for x
    x = 69,328.10/232.13
  6. Step 6: Final answer
    x = 298.66

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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.