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Finding the Fourth Proportional to 233.88, 322.86 and 221.76

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Solution

The fourth proportional to 233.88, 322.86 and 221.76 is: 306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 322.86 = 221.76 : x
  2. Step 2: Convert to fraction form
    233.88/322.86 = 221.76/x
  3. Step 3: Cross multiply
    233.88x = 322.86 × 221.76
  4. Step 4: Simplify right side
    233.88x = 71,597.43
  5. Step 5: Solve for x
    x = 71,597.43/233.88
  6. Step 6: Final answer
    x = 306.13

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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.