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Finding the Fourth Proportional to 289.24, 398.82 and 215.32

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Solution

The fourth proportional to 289.24, 398.82 and 215.32 is: 296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.24 : 398.82 = 215.32 : x
  2. Step 2: Convert to fraction form
    289.24/398.82 = 215.32/x
  3. Step 3: Cross multiply
    289.24x = 398.82 × 215.32
  4. Step 4: Simplify right side
    289.24x = 85,873.92
  5. Step 5: Solve for x
    x = 85,873.92/289.24
  6. Step 6: Final answer
    x = 296.90

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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.