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Finding the Fourth Proportional to 64.23, 96.38 and 35.36

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Solution

The fourth proportional to 64.23, 96.38 and 35.36 is: 53.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.23 : 96.38 = 35.36 : x
  2. Step 2: Convert to fraction form
    64.23/96.38 = 35.36/x
  3. Step 3: Cross multiply
    64.23x = 96.38 × 35.36
  4. Step 4: Simplify right side
    64.23x = 3,408.37
  5. Step 5: Solve for x
    x = 3,408.37/64.23
  6. Step 6: Final answer
    x = 53.06

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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.