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Finding the Fourth Proportional to 159.96, 220.62 and 118.56

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Solution

The fourth proportional to 159.96, 220.62 and 118.56 is: 163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.96 : 220.62 = 118.56 : x
  2. Step 2: Convert to fraction form
    159.96/220.62 = 118.56/x
  3. Step 3: Cross multiply
    159.96x = 220.62 × 118.56
  4. Step 4: Simplify right side
    159.96x = 26,156.71
  5. Step 5: Solve for x
    x = 26,156.71/159.96
  6. Step 6: Final answer
    x = 163.52

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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.