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Finding the Fourth Proportional to 68.40, 93.76 and 67.46

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Solution

The fourth proportional to 68.40, 93.76 and 67.46 is: 92.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.40 : 93.76 = 67.46 : x
  2. Step 2: Convert to fraction form
    68.40/93.76 = 67.46/x
  3. Step 3: Cross multiply
    68.40x = 93.76 × 67.46
  4. Step 4: Simplify right side
    68.40x = 6,325.05
  5. Step 5: Solve for x
    x = 6,325.05/68.40
  6. Step 6: Final answer
    x = 92.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.