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Finding the Fourth Proportional to 344.16, 513.73 and 318.78

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Solution

The fourth proportional to 344.16, 513.73 and 318.78 is: 475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.16 : 513.73 = 318.78 : x
  2. Step 2: Convert to fraction form
    344.16/513.73 = 318.78/x
  3. Step 3: Cross multiply
    344.16x = 513.73 × 318.78
  4. Step 4: Simplify right side
    344.16x = 163,766.85
  5. Step 5: Solve for x
    x = 163,766.85/344.16
  6. Step 6: Final answer
    x = 475.85

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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.