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Finding the Fourth Proportional to 159.56, 219.67 and 150.45

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Solution

The fourth proportional to 159.56, 219.67 and 150.45 is: 207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.56 : 219.67 = 150.45 : x
  2. Step 2: Convert to fraction form
    159.56/219.67 = 150.45/x
  3. Step 3: Cross multiply
    159.56x = 219.67 × 150.45
  4. Step 4: Simplify right side
    159.56x = 33,049.35
  5. Step 5: Solve for x
    x = 33,049.35/159.56
  6. Step 6: Final answer
    x = 207.13

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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.