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Finding the Fourth Proportional to 137.60, 207.35 and 117.57

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Solution

The fourth proportional to 137.60, 207.35 and 117.57 is: 177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.60 : 207.35 = 117.57 : x
  2. Step 2: Convert to fraction form
    137.60/207.35 = 117.57/x
  3. Step 3: Cross multiply
    137.60x = 207.35 × 117.57
  4. Step 4: Simplify right side
    137.60x = 24,378.43
  5. Step 5: Solve for x
    x = 24,378.43/137.60
  6. Step 6: Final answer
    x = 177.18

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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.