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Finding the Fourth Proportional to 443.41, 611.30 and 381.89

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Solution

The fourth proportional to 443.41, 611.30 and 381.89 is: 526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.41 : 611.30 = 381.89 : x
  2. Step 2: Convert to fraction form
    443.41/611.30 = 381.89/x
  3. Step 3: Cross multiply
    443.41x = 611.30 × 381.89
  4. Step 4: Simplify right side
    443.41x = 233,451.84
  5. Step 5: Solve for x
    x = 233,451.84/443.41
  6. Step 6: Final answer
    x = 526.50

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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.