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Finding the Fourth Proportional to 622.18, 933.02 and 211.24

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Solution

The fourth proportional to 622.18, 933.02 and 211.24 is: 316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.18 : 933.02 = 211.24 : x
  2. Step 2: Convert to fraction form
    622.18/933.02 = 211.24/x
  3. Step 3: Cross multiply
    622.18x = 933.02 × 211.24
  4. Step 4: Simplify right side
    622.18x = 197,091.14
  5. Step 5: Solve for x
    x = 197,091.14/622.18
  6. Step 6: Final answer
    x = 316.78

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