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Finding the Fourth Proportional to 387.44, 578.02 and 344.24

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Solution

The fourth proportional to 387.44, 578.02 and 344.24 is: 513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.44 : 578.02 = 344.24 : x
  2. Step 2: Convert to fraction form
    387.44/578.02 = 344.24/x
  3. Step 3: Cross multiply
    387.44x = 578.02 × 344.24
  4. Step 4: Simplify right side
    387.44x = 198,977.60
  5. Step 5: Solve for x
    x = 198,977.60/387.44
  6. Step 6: Final answer
    x = 513.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.