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Finding the Fourth Proportional to 381.74, 529.04 and 377.30

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Solution

The fourth proportional to 381.74, 529.04 and 377.30 is: 522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.74 : 529.04 = 377.30 : x
  2. Step 2: Convert to fraction form
    381.74/529.04 = 377.30/x
  3. Step 3: Cross multiply
    381.74x = 529.04 × 377.30
  4. Step 4: Simplify right side
    381.74x = 199,606.79
  5. Step 5: Solve for x
    x = 199,606.79/381.74
  6. Step 6: Final answer
    x = 522.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.