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Finding the Fourth Proportional to 137.60, 205.62 and 98.90

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Solution

The fourth proportional to 137.60, 205.62 and 98.90 is: 147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.60 : 205.62 = 98.90 : x
  2. Step 2: Convert to fraction form
    137.60/205.62 = 98.90/x
  3. Step 3: Cross multiply
    137.60x = 205.62 × 98.90
  4. Step 4: Simplify right side
    137.60x = 20,335.32
  5. Step 5: Solve for x
    x = 20,335.32/137.60
  6. Step 6: Final answer
    x = 147.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.