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Finding the Fourth Proportional to 289.44, 399.12 and 215.56

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Solution

The fourth proportional to 289.44, 399.12 and 215.56 is: 297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.44 : 399.12 = 215.56 : x
  2. Step 2: Convert to fraction form
    289.44/399.12 = 215.56/x
  3. Step 3: Cross multiply
    289.44x = 399.12 × 215.56
  4. Step 4: Simplify right side
    289.44x = 86,034.31
  5. Step 5: Solve for x
    x = 86,034.31/289.44
  6. Step 6: Final answer
    x = 297.24

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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.