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Finding the Fourth Proportional to 59.78, 82.38 and 43.40

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Solution

The fourth proportional to 59.78, 82.38 and 43.40 is: 59.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.78 : 82.38 = 43.40 : x
  2. Step 2: Convert to fraction form
    59.78/82.38 = 43.40/x
  3. Step 3: Cross multiply
    59.78x = 82.38 × 43.40
  4. Step 4: Simplify right side
    59.78x = 3,575.29
  5. Step 5: Solve for x
    x = 3,575.29/59.78
  6. Step 6: Final answer
    x = 59.81

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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.