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Finding the Fourth Proportional to 224.99, 310.43 and 142.11

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Solution

The fourth proportional to 224.99, 310.43 and 142.11 is: 196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.99 : 310.43 = 142.11 : x
  2. Step 2: Convert to fraction form
    224.99/310.43 = 142.11/x
  3. Step 3: Cross multiply
    224.99x = 310.43 × 142.11
  4. Step 4: Simplify right side
    224.99x = 44,115.21
  5. Step 5: Solve for x
    x = 44,115.21/224.99
  6. Step 6: Final answer
    x = 196.08

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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.