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Finding the Fourth Proportional to 345.35, 516.96 and 258.18

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Solution

The fourth proportional to 345.35, 516.96 and 258.18 is: 386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.35 : 516.96 = 258.18 : x
  2. Step 2: Convert to fraction form
    345.35/516.96 = 258.18/x
  3. Step 3: Cross multiply
    345.35x = 516.96 × 258.18
  4. Step 4: Simplify right side
    345.35x = 133,468.73
  5. Step 5: Solve for x
    x = 133,468.73/345.35
  6. Step 6: Final answer
    x = 386.47

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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.