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Finding the Fourth Proportional to 387.75, 535.11 and 213.11

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Solution

The fourth proportional to 387.75, 535.11 and 213.11 is: 294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.75 : 535.11 = 213.11 : x
  2. Step 2: Convert to fraction form
    387.75/535.11 = 213.11/x
  3. Step 3: Cross multiply
    387.75x = 535.11 × 213.11
  4. Step 4: Simplify right side
    387.75x = 114,037.29
  5. Step 5: Solve for x
    x = 114,037.29/387.75
  6. Step 6: Final answer
    x = 294.10

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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.