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Finding the Fourth Proportional to 288.41, 398.27 and 273.06

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Solution

The fourth proportional to 288.41, 398.27 and 273.06 is: 377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.41 : 398.27 = 273.06 : x
  2. Step 2: Convert to fraction form
    288.41/398.27 = 273.06/x
  3. Step 3: Cross multiply
    288.41x = 398.27 × 273.06
  4. Step 4: Simplify right side
    288.41x = 108,752.29
  5. Step 5: Solve for x
    x = 108,752.29/288.41
  6. Step 6: Final answer
    x = 377.08

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