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Finding the Fourth Proportional to 224.85, 310.32 and 142.05

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Solution

The fourth proportional to 224.85, 310.32 and 142.05 is: 196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.85 : 310.32 = 142.05 : x
  2. Step 2: Convert to fraction form
    224.85/310.32 = 142.05/x
  3. Step 3: Cross multiply
    224.85x = 310.32 × 142.05
  4. Step 4: Simplify right side
    224.85x = 44,080.96
  5. Step 5: Solve for x
    x = 44,080.96/224.85
  6. Step 6: Final answer
    x = 196.05

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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.