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Finding the Fourth Proportional to 68.36, 94.28 and 51.96

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Solution

The fourth proportional to 68.36, 94.28 and 51.96 is: 71.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.36 : 94.28 = 51.96 : x
  2. Step 2: Convert to fraction form
    68.36/94.28 = 51.96/x
  3. Step 3: Cross multiply
    68.36x = 94.28 × 51.96
  4. Step 4: Simplify right side
    68.36x = 4,898.79
  5. Step 5: Solve for x
    x = 4,898.79/68.36
  6. Step 6: Final answer
    x = 71.66

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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.