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Finding the Fourth Proportional to 41, 56.40 and 35.78

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Solution

The fourth proportional to 41, 56.40 and 35.78 is: 49.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41 : 56.40 = 35.78 : x
  2. Step 2: Convert to fraction form
    41/56.40 = 35.78/x
  3. Step 3: Cross multiply
    41x = 56.40 × 35.78
  4. Step 4: Simplify right side
    41x = 2,017.99
  5. Step 5: Solve for x
    x = 2,017.99/41
  6. Step 6: Final answer
    x = 49.22

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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.