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Finding the Fourth Proportional to 149.89, 207.08 and 147.60

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Solution

The fourth proportional to 149.89, 207.08 and 147.60 is: 203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.89 : 207.08 = 147.60 : x
  2. Step 2: Convert to fraction form
    149.89/207.08 = 147.60/x
  3. Step 3: Cross multiply
    149.89x = 207.08 × 147.60
  4. Step 4: Simplify right side
    149.89x = 30,565.01
  5. Step 5: Solve for x
    x = 30,565.01/149.89
  6. Step 6: Final answer
    x = 203.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.