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Finding the Fourth Proportional to 68.00, 102.05 and 27.42

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Solution

The fourth proportional to 68.00, 102.05 and 27.42 is: 41.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.00 : 102.05 = 27.42 : x
  2. Step 2: Convert to fraction form
    68.00/102.05 = 27.42/x
  3. Step 3: Cross multiply
    68.00x = 102.05 × 27.42
  4. Step 4: Simplify right side
    68.00x = 2,798.07
  5. Step 5: Solve for x
    x = 2,798.07/68.00
  6. Step 6: Final answer
    x = 41.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.