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Finding the Fourth Proportional to 159.47, 219.98 and 137.60

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Solution

The fourth proportional to 159.47, 219.98 and 137.60 is: 189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.47 : 219.98 = 137.60 : x
  2. Step 2: Convert to fraction form
    159.47/219.98 = 137.60/x
  3. Step 3: Cross multiply
    159.47x = 219.98 × 137.60
  4. Step 4: Simplify right side
    159.47x = 30,269.25
  5. Step 5: Solve for x
    x = 30,269.25/159.47
  6. Step 6: Final answer
    x = 189.81

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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.