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Finding the Fourth Proportional to 159.55, 219.91 and 133.22

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Solution

The fourth proportional to 159.55, 219.91 and 133.22 is: 183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.55 : 219.91 = 133.22 : x
  2. Step 2: Convert to fraction form
    159.55/219.91 = 133.22/x
  3. Step 3: Cross multiply
    159.55x = 219.91 × 133.22
  4. Step 4: Simplify right side
    159.55x = 29,296.41
  5. Step 5: Solve for x
    x = 29,296.41/159.55
  6. Step 6: Final answer
    x = 183.62

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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.