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Finding the Fourth Proportional to 344.80, 517.40 and 318.07

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Solution

The fourth proportional to 344.80, 517.40 and 318.07 is: 477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.80 : 517.40 = 318.07 : x
  2. Step 2: Convert to fraction form
    344.80/517.40 = 318.07/x
  3. Step 3: Cross multiply
    344.80x = 517.40 × 318.07
  4. Step 4: Simplify right side
    344.80x = 164,565.24
  5. Step 5: Solve for x
    x = 164,565.24/344.80
  6. Step 6: Final answer
    x = 477.28

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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.