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Finding the Fourth Proportional to 137.66, 206.65 and 76.84

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Solution

The fourth proportional to 137.66, 206.65 and 76.84 is: 115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 206.65 = 76.84 : x
  2. Step 2: Convert to fraction form
    137.66/206.65 = 76.84/x
  3. Step 3: Cross multiply
    137.66x = 206.65 × 76.84
  4. Step 4: Simplify right side
    137.66x = 15,878.99
  5. Step 5: Solve for x
    x = 15,878.99/137.66
  6. Step 6: Final answer
    x = 115.35

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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.