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Finding the Fourth Proportional to 228.99, 341.43 and 219.87

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Solution

The fourth proportional to 228.99, 341.43 and 219.87 is: 327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.99 : 341.43 = 219.87 : x
  2. Step 2: Convert to fraction form
    228.99/341.43 = 219.87/x
  3. Step 3: Cross multiply
    228.99x = 341.43 × 219.87
  4. Step 4: Simplify right side
    228.99x = 75,070.21
  5. Step 5: Solve for x
    x = 75,070.21/228.99
  6. Step 6: Final answer
    x = 327.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.