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Finding the Fourth Proportional to 345.58, 516.29 and 273.49

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Solution

The fourth proportional to 345.58, 516.29 and 273.49 is: 408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.58 : 516.29 = 273.49 : x
  2. Step 2: Convert to fraction form
    345.58/516.29 = 273.49/x
  3. Step 3: Cross multiply
    345.58x = 516.29 × 273.49
  4. Step 4: Simplify right side
    345.58x = 141,200.15
  5. Step 5: Solve for x
    x = 141,200.15/345.58
  6. Step 6: Final answer
    x = 408.59

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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.