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Finding the Fourth Proportional to 153.63, 211.41 and 149.13

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Solution

The fourth proportional to 153.63, 211.41 and 149.13 is: 205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.63 : 211.41 = 149.13 : x
  2. Step 2: Convert to fraction form
    153.63/211.41 = 149.13/x
  3. Step 3: Cross multiply
    153.63x = 211.41 × 149.13
  4. Step 4: Simplify right side
    153.63x = 31,527.57
  5. Step 5: Solve for x
    x = 31,527.57/153.63
  6. Step 6: Final answer
    x = 205.22

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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.