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Finding the Fourth Proportional to 344.70, 476.20 and 318.78

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Solution

The fourth proportional to 344.70, 476.20 and 318.78 is: 440.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.70 : 476.20 = 318.78 : x
  2. Step 2: Convert to fraction form
    344.70/476.20 = 318.78/x
  3. Step 3: Cross multiply
    344.70x = 476.20 × 318.78
  4. Step 4: Simplify right side
    344.70x = 151,803.04
  5. Step 5: Solve for x
    x = 151,803.04/344.70
  6. Step 6: Final answer
    x = 440.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.