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Finding the Fourth Proportional to 343.60, 515.40 and 251.20

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Solution

The fourth proportional to 343.60, 515.40 and 251.20 is: 376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.60 : 515.40 = 251.20 : x
  2. Step 2: Convert to fraction form
    343.60/515.40 = 251.20/x
  3. Step 3: Cross multiply
    343.60x = 515.40 × 251.20
  4. Step 4: Simplify right side
    343.60x = 129,468.48
  5. Step 5: Solve for x
    x = 129,468.48/343.60
  6. Step 6: Final answer
    x = 376.80

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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.