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Finding the Fourth Proportional to 159.78, 220.33 and 118.41

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Solution

The fourth proportional to 159.78, 220.33 and 118.41 is: 163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.78 : 220.33 = 118.41 : x
  2. Step 2: Convert to fraction form
    159.78/220.33 = 118.41/x
  3. Step 3: Cross multiply
    159.78x = 220.33 × 118.41
  4. Step 4: Simplify right side
    159.78x = 26,089.53
  5. Step 5: Solve for x
    x = 26,089.53/159.78
  6. Step 6: Final answer
    x = 163.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.