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Finding the Fourth Proportional to 364.15, 542.49 and 346.73

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Solution

The fourth proportional to 364.15, 542.49 and 346.73 is: 516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.15 : 542.49 = 346.73 : x
  2. Step 2: Convert to fraction form
    364.15/542.49 = 346.73/x
  3. Step 3: Cross multiply
    364.15x = 542.49 × 346.73
  4. Step 4: Simplify right side
    364.15x = 188,097.56
  5. Step 5: Solve for x
    x = 188,097.56/364.15
  6. Step 6: Final answer
    x = 516.55

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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.