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Finding the Fourth Proportional to 343.81, 515.10 and 179.08

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Solution

The fourth proportional to 343.81, 515.10 and 179.08 is: 268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.81 : 515.10 = 179.08 : x
  2. Step 2: Convert to fraction form
    343.81/515.10 = 179.08/x
  3. Step 3: Cross multiply
    343.81x = 515.10 × 179.08
  4. Step 4: Simplify right side
    343.81x = 92,244.11
  5. Step 5: Solve for x
    x = 92,244.11/343.81
  6. Step 6: Final answer
    x = 268.30

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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.