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Finding the Fourth Proportional to 68.40, 93.78 and 65.52

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Solution

The fourth proportional to 68.40, 93.78 and 65.52 is: 89.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.40 : 93.78 = 65.52 : x
  2. Step 2: Convert to fraction form
    68.40/93.78 = 65.52/x
  3. Step 3: Cross multiply
    68.40x = 93.78 × 65.52
  4. Step 4: Simplify right side
    68.40x = 6,144.47
  5. Step 5: Solve for x
    x = 6,144.47/68.40
  6. Step 6: Final answer
    x = 89.83

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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.