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Finding the Fourth Proportional to 65.84, 98.20 and 63.44

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Solution

The fourth proportional to 65.84, 98.20 and 63.44 is: 94.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.84 : 98.20 = 63.44 : x
  2. Step 2: Convert to fraction form
    65.84/98.20 = 63.44/x
  3. Step 3: Cross multiply
    65.84x = 98.20 × 63.44
  4. Step 4: Simplify right side
    65.84x = 6,229.81
  5. Step 5: Solve for x
    x = 6,229.81/65.84
  6. Step 6: Final answer
    x = 94.62

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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.