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Finding the Fourth Proportional to 622.25, 933.31 and 189.41

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Solution

The fourth proportional to 622.25, 933.31 and 189.41 is: 284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.25 : 933.31 = 189.41 : x
  2. Step 2: Convert to fraction form
    622.25/933.31 = 189.41/x
  3. Step 3: Cross multiply
    622.25x = 933.31 × 189.41
  4. Step 4: Simplify right side
    622.25x = 176,778.25
  5. Step 5: Solve for x
    x = 176,778.25/622.25
  6. Step 6: Final answer
    x = 284.10

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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.