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Finding the Fourth Proportional to 345.96, 516.42 and 320.24

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Solution

The fourth proportional to 345.96, 516.42 and 320.24 is: 478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.96 : 516.42 = 320.24 : x
  2. Step 2: Convert to fraction form
    345.96/516.42 = 320.24/x
  3. Step 3: Cross multiply
    345.96x = 516.42 × 320.24
  4. Step 4: Simplify right side
    345.96x = 165,379.63
  5. Step 5: Solve for x
    x = 165,379.63/345.96
  6. Step 6: Final answer
    x = 478.03

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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.