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Finding the Fourth Proportional to 34.17, 50.91 and 32.64

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Solution

The fourth proportional to 34.17, 50.91 and 32.64 is: 48.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.17 : 50.91 = 32.64 : x
  2. Step 2: Convert to fraction form
    34.17/50.91 = 32.64/x
  3. Step 3: Cross multiply
    34.17x = 50.91 × 32.64
  4. Step 4: Simplify right side
    34.17x = 1,661.70
  5. Step 5: Solve for x
    x = 1,661.70/34.17
  6. Step 6: Final answer
    x = 48.63

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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.