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Finding the Fourth Proportional to 153.60, 213.12 and 149.12

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Solution

The fourth proportional to 153.60, 213.12 and 149.12 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.60 : 213.12 = 149.12 : x
  2. Step 2: Convert to fraction form
    153.60/213.12 = 149.12/x
  3. Step 3: Cross multiply
    153.60x = 213.12 × 149.12
  4. Step 4: Simplify right side
    153.60x = 31,780.45
  5. Step 5: Solve for x
    x = 31,780.45/153.60
  6. Step 6: Final answer
    x = 206.90

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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.