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Finding the Fourth Proportional to 345.18, 516.33 and 214.86

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Solution

The fourth proportional to 345.18, 516.33 and 214.86 is: 321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.18 : 516.33 = 214.86 : x
  2. Step 2: Convert to fraction form
    345.18/516.33 = 214.86/x
  3. Step 3: Cross multiply
    345.18x = 516.33 × 214.86
  4. Step 4: Simplify right side
    345.18x = 110,938.66
  5. Step 5: Solve for x
    x = 110,938.66/345.18
  6. Step 6: Final answer
    x = 321.39

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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.