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Finding the Fourth Proportional to 59.43, 82.05 and 40.08

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Solution

The fourth proportional to 59.43, 82.05 and 40.08 is: 55.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.43 : 82.05 = 40.08 : x
  2. Step 2: Convert to fraction form
    59.43/82.05 = 40.08/x
  3. Step 3: Cross multiply
    59.43x = 82.05 × 40.08
  4. Step 4: Simplify right side
    59.43x = 3,288.56
  5. Step 5: Solve for x
    x = 3,288.56/59.43
  6. Step 6: Final answer
    x = 55.34

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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.