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Finding the Fourth Proportional to 137.60, 207.33 and 113.76

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Solution

The fourth proportional to 137.60, 207.33 and 113.76 is: 171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.60 : 207.33 = 113.76 : x
  2. Step 2: Convert to fraction form
    137.60/207.33 = 113.76/x
  3. Step 3: Cross multiply
    137.60x = 207.33 × 113.76
  4. Step 4: Simplify right side
    137.60x = 23,584.71
  5. Step 5: Solve for x
    x = 23,584.71/137.60
  6. Step 6: Final answer
    x = 171.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.