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Finding the Fourth Proportional to 370.74, 512.40 and 273.18

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Solution

The fourth proportional to 370.74, 512.40 and 273.18 is: 377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.74 : 512.40 = 273.18 : x
  2. Step 2: Convert to fraction form
    370.74/512.40 = 273.18/x
  3. Step 3: Cross multiply
    370.74x = 512.40 × 273.18
  4. Step 4: Simplify right side
    370.74x = 139,977.43
  5. Step 5: Solve for x
    x = 139,977.43/370.74
  6. Step 6: Final answer
    x = 377.56

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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.