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Finding the Fourth Proportional to 68.49, 102.38 and 56.97

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Solution

The fourth proportional to 68.49, 102.38 and 56.97 is: 85.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.49 : 102.38 = 56.97 : x
  2. Step 2: Convert to fraction form
    68.49/102.38 = 56.97/x
  3. Step 3: Cross multiply
    68.49x = 102.38 × 56.97
  4. Step 4: Simplify right side
    68.49x = 5,832.30
  5. Step 5: Solve for x
    x = 5,832.30/68.49
  6. Step 6: Final answer
    x = 85.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.