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Finding the Fourth Proportional to 289.86, 398.97 and 240.18

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Solution

The fourth proportional to 289.86, 398.97 and 240.18 is: 330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.86 : 398.97 = 240.18 : x
  2. Step 2: Convert to fraction form
    289.86/398.97 = 240.18/x
  3. Step 3: Cross multiply
    289.86x = 398.97 × 240.18
  4. Step 4: Simplify right side
    289.86x = 95,824.61
  5. Step 5: Solve for x
    x = 95,824.61/289.86
  6. Step 6: Final answer
    x = 330.59

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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.