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Finding the Fourth Proportional to 381.52, 526.22 and 234.23

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Solution

The fourth proportional to 381.52, 526.22 and 234.23 is: 323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.52 : 526.22 = 234.23 : x
  2. Step 2: Convert to fraction form
    381.52/526.22 = 234.23/x
  3. Step 3: Cross multiply
    381.52x = 526.22 × 234.23
  4. Step 4: Simplify right side
    381.52x = 123,255.34
  5. Step 5: Solve for x
    x = 123,255.34/381.52
  6. Step 6: Final answer
    x = 323.07

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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.