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Finding the Fourth Proportional to 233.27, 322.16 and 159.78

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Solution

The fourth proportional to 233.27, 322.16 and 159.78 is: 220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.27 : 322.16 = 159.78 : x
  2. Step 2: Convert to fraction form
    233.27/322.16 = 159.78/x
  3. Step 3: Cross multiply
    233.27x = 322.16 × 159.78
  4. Step 4: Simplify right side
    233.27x = 51,473.93
  5. Step 5: Solve for x
    x = 51,473.93/233.27
  6. Step 6: Final answer
    x = 220.67

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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.