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Finding the Fourth Proportional to 622.98, 934.30 and 211.89

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Solution

The fourth proportional to 622.98, 934.30 and 211.89 is: 317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.98 : 934.30 = 211.89 : x
  2. Step 2: Convert to fraction form
    622.98/934.30 = 211.89/x
  3. Step 3: Cross multiply
    622.98x = 934.30 × 211.89
  4. Step 4: Simplify right side
    622.98x = 197,968.30
  5. Step 5: Solve for x
    x = 197,968.30/622.98
  6. Step 6: Final answer
    x = 317.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.