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Finding the Fourth Proportional to 578.80, 867.45 and 213.15

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Solution

The fourth proportional to 578.80, 867.45 and 213.15 is: 319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.80 : 867.45 = 213.15 : x
  2. Step 2: Convert to fraction form
    578.80/867.45 = 213.15/x
  3. Step 3: Cross multiply
    578.80x = 867.45 × 213.15
  4. Step 4: Simplify right side
    578.80x = 184,899.14
  5. Step 5: Solve for x
    x = 184,899.14/578.80
  6. Step 6: Final answer
    x = 319.45

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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.