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Finding the Fourth Proportional to 65.33, 97.22 and 63.13

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Solution

The fourth proportional to 65.33, 97.22 and 63.13 is: 93.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.33 : 97.22 = 63.13 : x
  2. Step 2: Convert to fraction form
    65.33/97.22 = 63.13/x
  3. Step 3: Cross multiply
    65.33x = 97.22 × 63.13
  4. Step 4: Simplify right side
    65.33x = 6,136.70
  5. Step 5: Solve for x
    x = 6,136.70/65.33
  6. Step 6: Final answer
    x = 93.93

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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.