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Finding the Fourth Proportional to 65, 96.76 and 63.20

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Solution

The fourth proportional to 65, 96.76 and 63.20 is: 94.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65 : 96.76 = 63.20 : x
  2. Step 2: Convert to fraction form
    65/96.76 = 63.20/x
  3. Step 3: Cross multiply
    65x = 96.76 × 63.20
  4. Step 4: Simplify right side
    65x = 6,115.23
  5. Step 5: Solve for x
    x = 6,115.23/65
  6. Step 6: Final answer
    x = 94.08

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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.