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Finding the Fourth Proportional to 289.86, 399.57 and 219.99

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Solution

The fourth proportional to 289.86, 399.57 and 219.99 is: 303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.86 : 399.57 = 219.99 : x
  2. Step 2: Convert to fraction form
    289.86/399.57 = 219.99/x
  3. Step 3: Cross multiply
    289.86x = 399.57 × 219.99
  4. Step 4: Simplify right side
    289.86x = 87,901.40
  5. Step 5: Solve for x
    x = 87,901.40/289.86
  6. Step 6: Final answer
    x = 303.25

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Why These Related Problems?

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