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Finding the Fourth Proportional to 288.23, 398.25 and 272.30

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Solution

The fourth proportional to 288.23, 398.25 and 272.30 is: 376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.23 : 398.25 = 272.30 : x
  2. Step 2: Convert to fraction form
    288.23/398.25 = 272.30/x
  3. Step 3: Cross multiply
    288.23x = 398.25 × 272.30
  4. Step 4: Simplify right side
    288.23x = 108,441.48
  5. Step 5: Solve for x
    x = 108,441.48/288.23
  6. Step 6: Final answer
    x = 376.24

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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.