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Finding the Fourth Proportional to 68.16, 94.12 and 49.84

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Solution

The fourth proportional to 68.16, 94.12 and 49.84 is: 68.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.16 : 94.12 = 49.84 : x
  2. Step 2: Convert to fraction form
    68.16/94.12 = 49.84/x
  3. Step 3: Cross multiply
    68.16x = 94.12 × 49.84
  4. Step 4: Simplify right side
    68.16x = 4,690.94
  5. Step 5: Solve for x
    x = 4,690.94/68.16
  6. Step 6: Final answer
    x = 68.82

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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.