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Finding the Fourth Proportional to 381.56, 527.04 and 294.68

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Solution

The fourth proportional to 381.56, 527.04 and 294.68 is: 407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.56 : 527.04 = 294.68 : x
  2. Step 2: Convert to fraction form
    381.56/527.04 = 294.68/x
  3. Step 3: Cross multiply
    381.56x = 527.04 × 294.68
  4. Step 4: Simplify right side
    381.56x = 155,308.15
  5. Step 5: Solve for x
    x = 155,308.15/381.56
  6. Step 6: Final answer
    x = 407.03

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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.