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Finding the Fourth Proportional to 153.88, 210.89 and 150.76

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Solution

The fourth proportional to 153.88, 210.89 and 150.76 is: 206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.88 : 210.89 = 150.76 : x
  2. Step 2: Convert to fraction form
    153.88/210.89 = 150.76/x
  3. Step 3: Cross multiply
    153.88x = 210.89 × 150.76
  4. Step 4: Simplify right side
    153.88x = 31,793.78
  5. Step 5: Solve for x
    x = 31,793.78/153.88
  6. Step 6: Final answer
    x = 206.61

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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.