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Finding the Fourth Proportional to 59.03, 81.40 and 41.75

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Solution

The fourth proportional to 59.03, 81.40 and 41.75 is: 57.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.03 : 81.40 = 41.75 : x
  2. Step 2: Convert to fraction form
    59.03/81.40 = 41.75/x
  3. Step 3: Cross multiply
    59.03x = 81.40 × 41.75
  4. Step 4: Simplify right side
    59.03x = 3,398.45
  5. Step 5: Solve for x
    x = 3,398.45/59.03
  6. Step 6: Final answer
    x = 57.57

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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.