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Finding the Fourth Proportional to 159.68, 220.31 and 89.72

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Solution

The fourth proportional to 159.68, 220.31 and 89.72 is: 123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.68 : 220.31 = 89.72 : x
  2. Step 2: Convert to fraction form
    159.68/220.31 = 89.72/x
  3. Step 3: Cross multiply
    159.68x = 220.31 × 89.72
  4. Step 4: Simplify right side
    159.68x = 19,766.99
  5. Step 5: Solve for x
    x = 19,766.99/159.68
  6. Step 6: Final answer
    x = 123.80

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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.