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Finding the Fourth Proportional to 238.15, 357.10 and 75.83

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Solution

The fourth proportional to 238.15, 357.10 and 75.83 is: 113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.15 : 357.10 = 75.83 : x
  2. Step 2: Convert to fraction form
    238.15/357.10 = 75.83/x
  3. Step 3: Cross multiply
    238.15x = 357.10 × 75.83
  4. Step 4: Simplify right side
    238.15x = 27,078.89
  5. Step 5: Solve for x
    x = 27,078.89/238.15
  6. Step 6: Final answer
    x = 113.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.