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Finding the Fourth Proportional to 578.90, 868.28 and 232.22

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Solution

The fourth proportional to 578.90, 868.28 and 232.22 is: 348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.90 : 868.28 = 232.22 : x
  2. Step 2: Convert to fraction form
    578.90/868.28 = 232.22/x
  3. Step 3: Cross multiply
    578.90x = 868.28 × 232.22
  4. Step 4: Simplify right side
    578.90x = 201,626.48
  5. Step 5: Solve for x
    x = 201,626.48/578.90
  6. Step 6: Final answer
    x = 348.30

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1.5x scale

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.