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Finding the Fourth Proportional to 43.07, 59.27 and 35.78

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Solution

The fourth proportional to 43.07, 59.27 and 35.78 is: 49.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.07 : 59.27 = 35.78 : x
  2. Step 2: Convert to fraction form
    43.07/59.27 = 35.78/x
  3. Step 3: Cross multiply
    43.07x = 59.27 × 35.78
  4. Step 4: Simplify right side
    43.07x = 2,120.21
  5. Step 5: Solve for x
    x = 2,120.21/43.07
  6. Step 6: Final answer
    x = 49.23

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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.