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Finding the Fourth Proportional to 381.75, 526.86 and 334.05

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Solution

The fourth proportional to 381.75, 526.86 and 334.05 is: 461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 526.86 = 334.05 : x
  2. Step 2: Convert to fraction form
    381.75/526.86 = 334.05/x
  3. Step 3: Cross multiply
    381.75x = 526.86 × 334.05
  4. Step 4: Simplify right side
    381.75x = 175,997.58
  5. Step 5: Solve for x
    x = 175,997.58/381.75
  6. Step 6: Final answer
    x = 461.03

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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.