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Finding the Fourth Proportional to 343.67, 513.67 and 299.40

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Solution

The fourth proportional to 343.67, 513.67 and 299.40 is: 447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.67 : 513.67 = 299.40 : x
  2. Step 2: Convert to fraction form
    343.67/513.67 = 299.40/x
  3. Step 3: Cross multiply
    343.67x = 513.67 × 299.40
  4. Step 4: Simplify right side
    343.67x = 153,792.80
  5. Step 5: Solve for x
    x = 153,792.80/343.67
  6. Step 6: Final answer
    x = 447.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.