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Finding the Fourth Proportional to 146.38, 217.99 and 145.66

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Solution

The fourth proportional to 146.38, 217.99 and 145.66 is: 216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.38 : 217.99 = 145.66 : x
  2. Step 2: Convert to fraction form
    146.38/217.99 = 145.66/x
  3. Step 3: Cross multiply
    146.38x = 217.99 × 145.66
  4. Step 4: Simplify right side
    146.38x = 31,752.42
  5. Step 5: Solve for x
    x = 31,752.42/146.38
  6. Step 6: Final answer
    x = 216.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.