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Finding the Fourth Proportional to 443.42, 611.34 and 381.91

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Solution

The fourth proportional to 443.42, 611.34 and 381.91 is: 526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.42 : 611.34 = 381.91 : x
  2. Step 2: Convert to fraction form
    443.42/611.34 = 381.91/x
  3. Step 3: Cross multiply
    443.42x = 611.34 × 381.91
  4. Step 4: Simplify right side
    443.42x = 233,476.86
  5. Step 5: Solve for x
    x = 233,476.86/443.42
  6. Step 6: Final answer
    x = 526.54

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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.