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Finding the Fourth Proportional to 390.39, 538.34 and 273.75

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Solution

The fourth proportional to 390.39, 538.34 and 273.75 is: 377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.39 : 538.34 = 273.75 : x
  2. Step 2: Convert to fraction form
    390.39/538.34 = 273.75/x
  3. Step 3: Cross multiply
    390.39x = 538.34 × 273.75
  4. Step 4: Simplify right side
    390.39x = 147,369.21
  5. Step 5: Solve for x
    x = 147,369.21/390.39
  6. Step 6: Final answer
    x = 377.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.