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Finding the Fourth Proportional to 64.35, 96.59 and 33.91

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Solution

The fourth proportional to 64.35, 96.59 and 33.91 is: 50.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.35 : 96.59 = 33.91 : x
  2. Step 2: Convert to fraction form
    64.35/96.59 = 33.91/x
  3. Step 3: Cross multiply
    64.35x = 96.59 × 33.91
  4. Step 4: Simplify right side
    64.35x = 3,275.21
  5. Step 5: Solve for x
    x = 3,275.21/64.35
  6. Step 6: Final answer
    x = 50.90

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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.