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Finding the Fourth Proportional to 146.62, 203.55 and 142.16

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Solution

The fourth proportional to 146.62, 203.55 and 142.16 is: 197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.62 : 203.55 = 142.16 : x
  2. Step 2: Convert to fraction form
    146.62/203.55 = 142.16/x
  3. Step 3: Cross multiply
    146.62x = 203.55 × 142.16
  4. Step 4: Simplify right side
    146.62x = 28,935.96
  5. Step 5: Solve for x
    x = 28,935.96/146.62
  6. Step 6: Final answer
    x = 197.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.