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Finding the Fourth Proportional to 381.81, 529.34 and 362.05

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Solution

The fourth proportional to 381.81, 529.34 and 362.05 is: 501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.81 : 529.34 = 362.05 : x
  2. Step 2: Convert to fraction form
    381.81/529.34 = 362.05/x
  3. Step 3: Cross multiply
    381.81x = 529.34 × 362.05
  4. Step 4: Simplify right side
    381.81x = 191,647.39
  5. Step 5: Solve for x
    x = 191,647.39/381.81
  6. Step 6: Final answer
    x = 501.94

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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.