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Finding the Fourth Proportional to 159.58, 220.23 and 89.65

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Solution

The fourth proportional to 159.58, 220.23 and 89.65 is: 123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.58 : 220.23 = 89.65 : x
  2. Step 2: Convert to fraction form
    159.58/220.23 = 89.65/x
  3. Step 3: Cross multiply
    159.58x = 220.23 × 89.65
  4. Step 4: Simplify right side
    159.58x = 19,743.89
  5. Step 5: Solve for x
    x = 19,743.89/159.58
  6. Step 6: Final answer
    x = 123.72

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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.