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Finding the Fourth Proportional to 343.19, 515.89 and 275.45

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Solution

The fourth proportional to 343.19, 515.89 and 275.45 is: 414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.19 : 515.89 = 275.45 : x
  2. Step 2: Convert to fraction form
    343.19/515.89 = 275.45/x
  3. Step 3: Cross multiply
    343.19x = 515.89 × 275.45
  4. Step 4: Simplify right side
    343.19x = 142,099.32
  5. Step 5: Solve for x
    x = 142,099.32/343.19
  6. Step 6: Final answer
    x = 414.06

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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.