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Finding the Fourth Proportional to 159.64, 218.69 and 149.80

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Solution

The fourth proportional to 159.64, 218.69 and 149.80 is: 205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.64 : 218.69 = 149.80 : x
  2. Step 2: Convert to fraction form
    159.64/218.69 = 149.80/x
  3. Step 3: Cross multiply
    159.64x = 218.69 × 149.80
  4. Step 4: Simplify right side
    159.64x = 32,759.76
  5. Step 5: Solve for x
    x = 32,759.76/159.64
  6. Step 6: Final answer
    x = 205.21

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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.