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Finding the Fourth Proportional to 578.45, 867.65 and 213.14

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Solution

The fourth proportional to 578.45, 867.65 and 213.14 is: 319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.45 : 867.65 = 213.14 : x
  2. Step 2: Convert to fraction form
    578.45/867.65 = 213.14/x
  3. Step 3: Cross multiply
    578.45x = 867.65 × 213.14
  4. Step 4: Simplify right side
    578.45x = 184,925.52
  5. Step 5: Solve for x
    x = 184,925.52/578.45
  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.