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Finding the Fourth Proportional to 68.31, 102.03 and 58.70

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Solution

The fourth proportional to 68.31, 102.03 and 58.70 is: 87.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.31 : 102.03 = 58.70 : x
  2. Step 2: Convert to fraction form
    68.31/102.03 = 58.70/x
  3. Step 3: Cross multiply
    68.31x = 102.03 × 58.70
  4. Step 4: Simplify right side
    68.31x = 5,989.42
  5. Step 5: Solve for x
    x = 5,989.42/68.31
  6. Step 6: Final answer
    x = 87.68

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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.