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Finding the Fourth Proportional to 68.25, 102.36 and 31.67

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Solution

The fourth proportional to 68.25, 102.36 and 31.67 is: 47.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 102.36 = 31.67 : x
  2. Step 2: Convert to fraction form
    68.25/102.36 = 31.67/x
  3. Step 3: Cross multiply
    68.25x = 102.36 × 31.67
  4. Step 4: Simplify right side
    68.25x = 3,242.31
  5. Step 5: Solve for x
    x = 3,242.31/68.25
  6. Step 6: Final answer
    x = 47.51

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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.