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Finding the Fourth Proportional to 146.18, 217.70 and 142.32

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Solution

The fourth proportional to 146.18, 217.70 and 142.32 is: 211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.18 : 217.70 = 142.32 : x
  2. Step 2: Convert to fraction form
    146.18/217.70 = 142.32/x
  3. Step 3: Cross multiply
    146.18x = 217.70 × 142.32
  4. Step 4: Simplify right side
    146.18x = 30,983.06
  5. Step 5: Solve for x
    x = 30,983.06/146.18
  6. Step 6: Final answer
    x = 211.95

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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.