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Finding the Fourth Proportional to 146.62, 202.17 and 109.66

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Solution

The fourth proportional to 146.62, 202.17 and 109.66 is: 151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.62 : 202.17 = 109.66 : x
  2. Step 2: Convert to fraction form
    146.62/202.17 = 109.66/x
  3. Step 3: Cross multiply
    146.62x = 202.17 × 109.66
  4. Step 4: Simplify right side
    146.62x = 22,169.96
  5. Step 5: Solve for x
    x = 22,169.96/146.62
  6. Step 6: Final answer
    x = 151.21

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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.