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Finding the Fourth Proportional to 63.69, 96.00 and 59.97

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Solution

The fourth proportional to 63.69, 96.00 and 59.97 is: 90.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.69 : 96.00 = 59.97 : x
  2. Step 2: Convert to fraction form
    63.69/96.00 = 59.97/x
  3. Step 3: Cross multiply
    63.69x = 96.00 × 59.97
  4. Step 4: Simplify right side
    63.69x = 5,756.85
  5. Step 5: Solve for x
    x = 5,756.85/63.69
  6. Step 6: Final answer
    x = 90.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.