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Finding the Fourth Proportional to 65.68, 97.82 and 64.09

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Solution

The fourth proportional to 65.68, 97.82 and 64.09 is: 95.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.68 : 97.82 = 64.09 : x
  2. Step 2: Convert to fraction form
    65.68/97.82 = 64.09/x
  3. Step 3: Cross multiply
    65.68x = 97.82 × 64.09
  4. Step 4: Simplify right side
    65.68x = 6,269.28
  5. Step 5: Solve for x
    x = 6,269.28/65.68
  6. Step 6: Final answer
    x = 95.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.