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Finding the Fourth Proportional to 622.27, 933.50 and 189.55

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Solution

The fourth proportional to 622.27, 933.50 and 189.55 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.27 : 933.50 = 189.55 : x
  2. Step 2: Convert to fraction form
    622.27/933.50 = 189.55/x
  3. Step 3: Cross multiply
    622.27x = 933.50 × 189.55
  4. Step 4: Simplify right side
    622.27x = 176,944.93
  5. Step 5: Solve for x
    x = 176,944.93/622.27
  6. Step 6: Final answer
    x = 284.35

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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.