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Finding the Fourth Proportional to 578.39, 866.99 and 212.92

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Solution

The fourth proportional to 578.39, 866.99 and 212.92 is: 319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.39 : 866.99 = 212.92 : x
  2. Step 2: Convert to fraction form
    578.39/866.99 = 212.92/x
  3. Step 3: Cross multiply
    578.39x = 866.99 × 212.92
  4. Step 4: Simplify right side
    578.39x = 184,597.88
  5. Step 5: Solve for x
    x = 184,597.88/578.39
  6. Step 6: Final answer
    x = 319.16

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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.