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Finding the Fourth Proportional to 153.98, 211.13 and 150.33

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Solution

The fourth proportional to 153.98, 211.13 and 150.33 is: 206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.98 : 211.13 = 150.33 : x
  2. Step 2: Convert to fraction form
    153.98/211.13 = 150.33/x
  3. Step 3: Cross multiply
    153.98x = 211.13 × 150.33
  4. Step 4: Simplify right side
    153.98x = 31,738.42
  5. Step 5: Solve for x
    x = 31,738.42/153.98
  6. Step 6: Final answer
    x = 206.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.