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Finding the Fourth Proportional to 64.24, 89.03 and 63.20

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Solution

The fourth proportional to 64.24, 89.03 and 63.20 is: 87.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.24 : 89.03 = 63.20 : x
  2. Step 2: Convert to fraction form
    64.24/89.03 = 63.20/x
  3. Step 3: Cross multiply
    64.24x = 89.03 × 63.20
  4. Step 4: Simplify right side
    64.24x = 5,626.70
  5. Step 5: Solve for x
    x = 5,626.70/64.24
  6. Step 6: Final answer
    x = 87.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.