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Finding the Fourth Proportional to 345.10, 515.33 and 299.56

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Solution

The fourth proportional to 345.10, 515.33 and 299.56 is: 447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.10 : 515.33 = 299.56 : x
  2. Step 2: Convert to fraction form
    345.10/515.33 = 299.56/x
  3. Step 3: Cross multiply
    345.10x = 515.33 × 299.56
  4. Step 4: Simplify right side
    345.10x = 154,372.25
  5. Step 5: Solve for x
    x = 154,372.25/345.10
  6. Step 6: Final answer
    x = 447.33

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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.