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Finding the Fourth Proportional to 343.87, 515.49 and 148.78

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Solution

The fourth proportional to 343.87, 515.49 and 148.78 is: 223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.87 : 515.49 = 148.78 : x
  2. Step 2: Convert to fraction form
    343.87/515.49 = 148.78/x
  3. Step 3: Cross multiply
    343.87x = 515.49 × 148.78
  4. Step 4: Simplify right side
    343.87x = 76,694.60
  5. Step 5: Solve for x
    x = 76,694.60/343.87
  6. Step 6: Final answer
    x = 223.03

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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.