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Finding the Fourth Proportional to 159, 219.32 and 93.53

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Solution

The fourth proportional to 159, 219.32 and 93.53 is: 129.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 219.32 = 93.53 : x
  2. Step 2: Convert to fraction form
    159/219.32 = 93.53/x
  3. Step 3: Cross multiply
    159x = 219.32 × 93.53
  4. Step 4: Simplify right side
    159x = 20,511.79
  5. Step 5: Solve for x
    x = 20,511.79/159
  6. Step 6: Final answer
    x = 129.00

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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.