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Finding the Fourth Proportional to 224.88, 311.77 and 212.58

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Solution

The fourth proportional to 224.88, 311.77 and 212.58 is: 294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.88 : 311.77 = 212.58 : x
  2. Step 2: Convert to fraction form
    224.88/311.77 = 212.58/x
  3. Step 3: Cross multiply
    224.88x = 311.77 × 212.58
  4. Step 4: Simplify right side
    224.88x = 66,276.07
  5. Step 5: Solve for x
    x = 66,276.07/224.88
  6. Step 6: Final answer
    x = 294.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.