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Finding the Fourth Proportional to 345.03, 516.18 and 299.91

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Solution

The fourth proportional to 345.03, 516.18 and 299.91 is: 448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.03 : 516.18 = 299.91 : x
  2. Step 2: Convert to fraction form
    345.03/516.18 = 299.91/x
  3. Step 3: Cross multiply
    345.03x = 516.18 × 299.91
  4. Step 4: Simplify right side
    345.03x = 154,807.54
  5. Step 5: Solve for x
    x = 154,807.54/345.03
  6. Step 6: Final answer
    x = 448.68

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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.