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Finding the Fourth Proportional to 149.97, 204.35 and 146.64

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Solution

The fourth proportional to 149.97, 204.35 and 146.64 is: 199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.97 : 204.35 = 146.64 : x
  2. Step 2: Convert to fraction form
    149.97/204.35 = 146.64/x
  3. Step 3: Cross multiply
    149.97x = 204.35 × 146.64
  4. Step 4: Simplify right side
    149.97x = 29,965.15
  5. Step 5: Solve for x
    x = 29,965.15/149.97
  6. Step 6: Final answer
    x = 199.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.