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Finding the Fourth Proportional to 64.46, 96.64 and 21.10

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Solution

The fourth proportional to 64.46, 96.64 and 21.10 is: 31.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.46 : 96.64 = 21.10 : x
  2. Step 2: Convert to fraction form
    64.46/96.64 = 21.10/x
  3. Step 3: Cross multiply
    64.46x = 96.64 × 21.10
  4. Step 4: Simplify right side
    64.46x = 2,039.10
  5. Step 5: Solve for x
    x = 2,039.10/64.46
  6. Step 6: Final answer
    x = 31.63

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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.