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Finding the Fourth Proportional to 381.18, 526.14 and 241.23

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Solution

The fourth proportional to 381.18, 526.14 and 241.23 is: 332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.18 : 526.14 = 241.23 : x
  2. Step 2: Convert to fraction form
    381.18/526.14 = 241.23/x
  3. Step 3: Cross multiply
    381.18x = 526.14 × 241.23
  4. Step 4: Simplify right side
    381.18x = 126,920.75
  5. Step 5: Solve for x
    x = 126,920.75/381.18
  6. Step 6: Final answer
    x = 332.97

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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.