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Finding the Fourth Proportional to 68.36, 101.96 and 58.10

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Solution

The fourth proportional to 68.36, 101.96 and 58.10 is: 86.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.36 : 101.96 = 58.10 : x
  2. Step 2: Convert to fraction form
    68.36/101.96 = 58.10/x
  3. Step 3: Cross multiply
    68.36x = 101.96 × 58.10
  4. Step 4: Simplify right side
    68.36x = 5,923.08
  5. Step 5: Solve for x
    x = 5,923.08/68.36
  6. Step 6: Final answer
    x = 86.65

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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.