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Finding the Fourth Proportional to 97.23, 134.21 and 64.42

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Solution

The fourth proportional to 97.23, 134.21 and 64.42 is: 88.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.23 : 134.21 = 64.42 : x
  2. Step 2: Convert to fraction form
    97.23/134.21 = 64.42/x
  3. Step 3: Cross multiply
    97.23x = 134.21 × 64.42
  4. Step 4: Simplify right side
    97.23x = 8,645.81
  5. Step 5: Solve for x
    x = 8,645.81/97.23
  6. Step 6: Final answer
    x = 88.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.