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Finding the Fourth Proportional to 381.80, 526.86 and 234.52

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Solution

The fourth proportional to 381.80, 526.86 and 234.52 is: 323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.80 : 526.86 = 234.52 : x
  2. Step 2: Convert to fraction form
    381.80/526.86 = 234.52/x
  3. Step 3: Cross multiply
    381.80x = 526.86 × 234.52
  4. Step 4: Simplify right side
    381.80x = 123,559.21
  5. Step 5: Solve for x
    x = 123,559.21/381.80
  6. Step 6: Final answer
    x = 323.62

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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.