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Finding the Fourth Proportional to 233.76, 322.14 and 159.95

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Solution

The fourth proportional to 233.76, 322.14 and 159.95 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 322.14 = 159.95 : x
  2. Step 2: Convert to fraction form
    233.76/322.14 = 159.95/x
  3. Step 3: Cross multiply
    233.76x = 322.14 × 159.95
  4. Step 4: Simplify right side
    233.76x = 51,524.68
  5. Step 5: Solve for x
    x = 51,524.68/233.76
  6. Step 6: Final answer
    x = 220.42

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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.