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Finding the Fourth Proportional to 343.70, 514.58 and 266.80

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Solution

The fourth proportional to 343.70, 514.58 and 266.80 is: 399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.70 : 514.58 = 266.80 : x
  2. Step 2: Convert to fraction form
    343.70/514.58 = 266.80/x
  3. Step 3: Cross multiply
    343.70x = 514.58 × 266.80
  4. Step 4: Simplify right side
    343.70x = 137,288.61
  5. Step 5: Solve for x
    x = 137,288.61/343.70
  6. Step 6: Final answer
    x = 399.44

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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.