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Finding the Fourth Proportional to 137.57, 204.98 and 130.68

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Solution

The fourth proportional to 137.57, 204.98 and 130.68 is: 194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.57 : 204.98 = 130.68 : x
  2. Step 2: Convert to fraction form
    137.57/204.98 = 130.68/x
  3. Step 3: Cross multiply
    137.57x = 204.98 × 130.68
  4. Step 4: Simplify right side
    137.57x = 26,786.13
  5. Step 5: Solve for x
    x = 26,786.13/137.57
  6. Step 6: Final answer
    x = 194.72

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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.