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Finding the Fourth Proportional to 622, 933.12 and 280

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Solution

The fourth proportional to 622, 933.12 and 280 is: 420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    622 : 933.12 = 280 : x
  2. Step 2: Convert to fraction form
    622/933.12 = 280/x
  3. Step 3: Cross multiply
    622x = 933.12 × 280
  4. Step 4: Simplify right side
    622x = 261,273.60
  5. Step 5: Solve for x
    x = 261,273.60/622
  6. Step 6: Final answer
    x = 420.05

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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.