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Finding the Fourth Proportional to 389.20, 537.10 and 214.56

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Solution

The fourth proportional to 389.20, 537.10 and 214.56 is: 296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.20 : 537.10 = 214.56 : x
  2. Step 2: Convert to fraction form
    389.20/537.10 = 214.56/x
  3. Step 3: Cross multiply
    389.20x = 537.10 × 214.56
  4. Step 4: Simplify right side
    389.20x = 115,240.18
  5. Step 5: Solve for x
    x = 115,240.18/389.20
  6. Step 6: Final answer
    x = 296.10

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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.