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Finding the Fourth Proportional to 389.62, 537.66 and 212.57

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Solution

The fourth proportional to 389.62, 537.66 and 212.57 is: 293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.62 : 537.66 = 212.57 : x
  2. Step 2: Convert to fraction form
    389.62/537.66 = 212.57/x
  3. Step 3: Cross multiply
    389.62x = 537.66 × 212.57
  4. Step 4: Simplify right side
    389.62x = 114,289.32
  5. Step 5: Solve for x
    x = 114,289.32/389.62
  6. Step 6: Final answer
    x = 293.34

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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.