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Finding the Fourth Proportional to 153.49, 213.09 and 149.04

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Solution

The fourth proportional to 153.49, 213.09 and 149.04 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.49 : 213.09 = 149.04 : x
  2. Step 2: Convert to fraction form
    153.49/213.09 = 149.04/x
  3. Step 3: Cross multiply
    153.49x = 213.09 × 149.04
  4. Step 4: Simplify right side
    153.49x = 31,758.24
  5. Step 5: Solve for x
    x = 31,758.24/153.49
  6. Step 6: Final answer
    x = 206.91

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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.