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Finding the Fourth Proportional to 578.23, 867.40 and 213.02

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Solution

The fourth proportional to 578.23, 867.40 and 213.02 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.23 : 867.40 = 213.02 : x
  2. Step 2: Convert to fraction form
    578.23/867.40 = 213.02/x
  3. Step 3: Cross multiply
    578.23x = 867.40 × 213.02
  4. Step 4: Simplify right side
    578.23x = 184,773.55
  5. Step 5: Solve for x
    x = 184,773.55/578.23
  6. Step 6: Final answer
    x = 319.55

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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.