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Finding the Fourth Proportional to 64.26, 96.48 and 61.56

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Solution

The fourth proportional to 64.26, 96.48 and 61.56 is: 92.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.26 : 96.48 = 61.56 : x
  2. Step 2: Convert to fraction form
    64.26/96.48 = 61.56/x
  3. Step 3: Cross multiply
    64.26x = 96.48 × 61.56
  4. Step 4: Simplify right side
    64.26x = 5,939.31
  5. Step 5: Solve for x
    x = 5,939.31/64.26
  6. Step 6: Final answer
    x = 92.43

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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.