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Finding the Fourth Proportional to 578.24, 867.27 and 213.02

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Solution

The fourth proportional to 578.24, 867.27 and 213.02 is: 319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.24 : 867.27 = 213.02 : x
  2. Step 2: Convert to fraction form
    578.24/867.27 = 213.02/x
  3. Step 3: Cross multiply
    578.24x = 867.27 × 213.02
  4. Step 4: Simplify right side
    578.24x = 184,748.02
  5. Step 5: Solve for x
    x = 184,748.02/578.24
  6. Step 6: Final answer
    x = 319.50

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Double scale
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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.