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Finding the Fourth Proportional to 159.91, 220.81 and 130.41

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Solution

The fourth proportional to 159.91, 220.81 and 130.41 is: 180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.91 : 220.81 = 130.41 : x
  2. Step 2: Convert to fraction form
    159.91/220.81 = 130.41/x
  3. Step 3: Cross multiply
    159.91x = 220.81 × 130.41
  4. Step 4: Simplify right side
    159.91x = 28,794.08
  5. Step 5: Solve for x
    x = 28,794.08/159.91
  6. Step 6: Final answer
    x = 180.06

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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.