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Finding the Fourth Proportional to 41.07, 56.64 and 33.78

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Solution

The fourth proportional to 41.07, 56.64 and 33.78 is: 46.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.07 : 56.64 = 33.78 : x
  2. Step 2: Convert to fraction form
    41.07/56.64 = 33.78/x
  3. Step 3: Cross multiply
    41.07x = 56.64 × 33.78
  4. Step 4: Simplify right side
    41.07x = 1,913.30
  5. Step 5: Solve for x
    x = 1,913.30/41.07
  6. Step 6: Final answer
    x = 46.59

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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.