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Finding the Fourth Proportional to 40.90, 56.41 and 24.50

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Solution

The fourth proportional to 40.90, 56.41 and 24.50 is: 33.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.90 : 56.41 = 24.50 : x
  2. Step 2: Convert to fraction form
    40.90/56.41 = 24.50/x
  3. Step 3: Cross multiply
    40.90x = 56.41 × 24.50
  4. Step 4: Simplify right side
    40.90x = 1,382.12
  5. Step 5: Solve for x
    x = 1,382.12/40.90
  6. Step 6: Final answer
    x = 33.79

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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.