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Finding the Fourth Proportional to 578.49, 866.94 and 212.92

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Solution

The fourth proportional to 578.49, 866.94 and 212.92 is: 319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.49 : 866.94 = 212.92 : x
  2. Step 2: Convert to fraction form
    578.49/866.94 = 212.92/x
  3. Step 3: Cross multiply
    578.49x = 866.94 × 212.92
  4. Step 4: Simplify right side
    578.49x = 184,588.86
  5. Step 5: Solve for x
    x = 184,588.86/578.49
  6. Step 6: Final answer
    x = 319.09

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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.