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Finding the Fourth Proportional to 149.47, 203.67 and 146.14

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Solution

The fourth proportional to 149.47, 203.67 and 146.14 is: 199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.47 : 203.67 = 146.14 : x
  2. Step 2: Convert to fraction form
    149.47/203.67 = 146.14/x
  3. Step 3: Cross multiply
    149.47x = 203.67 × 146.14
  4. Step 4: Simplify right side
    149.47x = 29,764.33
  5. Step 5: Solve for x
    x = 29,764.33/149.47
  6. Step 6: Final answer
    x = 199.13

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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.