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Finding the Fourth Proportional to 68.84, 95.00 and 37.75

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Solution

The fourth proportional to 68.84, 95.00 and 37.75 is: 52.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.84 : 95.00 = 37.75 : x
  2. Step 2: Convert to fraction form
    68.84/95.00 = 37.75/x
  3. Step 3: Cross multiply
    68.84x = 95.00 × 37.75
  4. Step 4: Simplify right side
    68.84x = 3,586.18
  5. Step 5: Solve for x
    x = 3,586.18/68.84
  6. Step 6: Final answer
    x = 52.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.