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Finding the Fourth Proportional to 137.13, 205.34 and 76.20

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Solution

The fourth proportional to 137.13, 205.34 and 76.20 is: 114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.13 : 205.34 = 76.20 : x
  2. Step 2: Convert to fraction form
    137.13/205.34 = 76.20/x
  3. Step 3: Cross multiply
    137.13x = 205.34 × 76.20
  4. Step 4: Simplify right side
    137.13x = 15,646.53
  5. Step 5: Solve for x
    x = 15,646.53/137.13
  6. Step 6: Final answer
    x = 114.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.