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Finding the Fourth Proportional to 149.71, 207.48 and 147.43

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Solution

The fourth proportional to 149.71, 207.48 and 147.43 is: 204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.71 : 207.48 = 147.43 : x
  2. Step 2: Convert to fraction form
    149.71/207.48 = 147.43/x
  3. Step 3: Cross multiply
    149.71x = 207.48 × 147.43
  4. Step 4: Simplify right side
    149.71x = 30,587.00
  5. Step 5: Solve for x
    x = 30,587.00/149.71
  6. Step 6: Final answer
    x = 204.32

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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.