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Finding the Fourth Proportional to 149.07, 206.67 and 146.10

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Solution

The fourth proportional to 149.07, 206.67 and 146.10 is: 202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.07 : 206.67 = 146.10 : x
  2. Step 2: Convert to fraction form
    149.07/206.67 = 146.10/x
  3. Step 3: Cross multiply
    149.07x = 206.67 × 146.10
  4. Step 4: Simplify right side
    149.07x = 30,194.49
  5. Step 5: Solve for x
    x = 30,194.49/149.07
  6. Step 6: Final answer
    x = 202.55

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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.