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Finding the Fourth Proportional to 209.47, 288.84 and 149.70

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Solution

The fourth proportional to 209.47, 288.84 and 149.70 is: 206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.47 : 288.84 = 149.70 : x
  2. Step 2: Convert to fraction form
    209.47/288.84 = 149.70/x
  3. Step 3: Cross multiply
    209.47x = 288.84 × 149.70
  4. Step 4: Simplify right side
    209.47x = 43,239.35
  5. Step 5: Solve for x
    x = 43,239.35/209.47
  6. Step 6: Final answer
    x = 206.43

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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.