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Finding the Fourth Proportional to 159.59, 220.40 and 142.41

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Solution

The fourth proportional to 159.59, 220.40 and 142.41 is: 196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.59 : 220.40 = 142.41 : x
  2. Step 2: Convert to fraction form
    159.59/220.40 = 142.41/x
  3. Step 3: Cross multiply
    159.59x = 220.40 × 142.41
  4. Step 4: Simplify right side
    159.59x = 31,387.81
  5. Step 5: Solve for x
    x = 31,387.81/159.59
  6. Step 6: Final answer
    x = 196.67

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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.