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Finding the Fourth Proportional to 578.28, 867.54 and 213.10

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Solution

The fourth proportional to 578.28, 867.54 and 213.10 is: 319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.28 : 867.54 = 213.10 : x
  2. Step 2: Convert to fraction form
    578.28/867.54 = 213.10/x
  3. Step 3: Cross multiply
    578.28x = 867.54 × 213.10
  4. Step 4: Simplify right side
    578.28x = 184,872.77
  5. Step 5: Solve for x
    x = 184,872.77/578.28
  6. Step 6: Final answer
    x = 319.69

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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.