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Finding the Fourth Proportional to 381.11, 525.64 and 233.62

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Solution

The fourth proportional to 381.11, 525.64 and 233.62 is: 322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.11 : 525.64 = 233.62 : x
  2. Step 2: Convert to fraction form
    381.11/525.64 = 233.62/x
  3. Step 3: Cross multiply
    381.11x = 525.64 × 233.62
  4. Step 4: Simplify right side
    381.11x = 122,800.02
  5. Step 5: Solve for x
    x = 122,800.02/381.11
  6. Step 6: Final answer
    x = 322.22

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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.