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Finding the Fourth Proportional to 64.89, 97.35 and 32.80

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Solution

The fourth proportional to 64.89, 97.35 and 32.80 is: 49.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.89 : 97.35 = 32.80 : x
  2. Step 2: Convert to fraction form
    64.89/97.35 = 32.80/x
  3. Step 3: Cross multiply
    64.89x = 97.35 × 32.80
  4. Step 4: Simplify right side
    64.89x = 3,193.08
  5. Step 5: Solve for x
    x = 3,193.08/64.89
  6. Step 6: Final answer
    x = 49.21

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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.