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Finding the Fourth Proportional to 64.06, 96.10 and 21.31

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Solution

The fourth proportional to 64.06, 96.10 and 21.31 is: 31.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.06 : 96.10 = 21.31 : x
  2. Step 2: Convert to fraction form
    64.06/96.10 = 21.31/x
  3. Step 3: Cross multiply
    64.06x = 96.10 × 21.31
  4. Step 4: Simplify right side
    64.06x = 2,048.02
  5. Step 5: Solve for x
    x = 2,048.02/64.06
  6. Step 6: Final answer
    x = 31.97

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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.