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Finding the Fourth Proportional to 387.29, 581.06 and 213.73

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Solution

The fourth proportional to 387.29, 581.06 and 213.73 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.29 : 581.06 = 213.73 : x
  2. Step 2: Convert to fraction form
    387.29/581.06 = 213.73/x
  3. Step 3: Cross multiply
    387.29x = 581.06 × 213.73
  4. Step 4: Simplify right side
    387.29x = 124,189.95
  5. Step 5: Solve for x
    x = 124,189.95/387.29
  6. Step 6: Final answer
    x = 320.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.