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Finding the Fourth Proportional to 64.29, 96.50 and 28.23

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Solution

The fourth proportional to 64.29, 96.50 and 28.23 is: 42.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.29 : 96.50 = 28.23 : x
  2. Step 2: Convert to fraction form
    64.29/96.50 = 28.23/x
  3. Step 3: Cross multiply
    64.29x = 96.50 × 28.23
  4. Step 4: Simplify right side
    64.29x = 2,724.05
  5. Step 5: Solve for x
    x = 2,724.05/64.29
  6. Step 6: Final answer
    x = 42.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.