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Finding the Fourth Proportional to 153.62, 210.62 and 150.88

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Solution

The fourth proportional to 153.62, 210.62 and 150.88 is: 206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.62 : 210.62 = 150.88 : x
  2. Step 2: Convert to fraction form
    153.62/210.62 = 150.88/x
  3. Step 3: Cross multiply
    153.62x = 210.62 × 150.88
  4. Step 4: Simplify right side
    153.62x = 31,778.35
  5. Step 5: Solve for x
    x = 31,778.35/153.62
  6. Step 6: Final answer
    x = 206.86

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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.