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Finding the Fourth Proportional to 64.05, 96.62 and 63.88

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Solution

The fourth proportional to 64.05, 96.62 and 63.88 is: 96.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.05 : 96.62 = 63.88 : x
  2. Step 2: Convert to fraction form
    64.05/96.62 = 63.88/x
  3. Step 3: Cross multiply
    64.05x = 96.62 × 63.88
  4. Step 4: Simplify right side
    64.05x = 6,172.09
  5. Step 5: Solve for x
    x = 6,172.09/64.05
  6. Step 6: Final answer
    x = 96.36

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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.