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Finding the Fourth Proportional to 622.16, 932.98 and 189.22

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Solution

The fourth proportional to 622.16, 932.98 and 189.22 is: 283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.16 : 932.98 = 189.22 : x
  2. Step 2: Convert to fraction form
    622.16/932.98 = 189.22/x
  3. Step 3: Cross multiply
    622.16x = 932.98 × 189.22
  4. Step 4: Simplify right side
    622.16x = 176,538.48
  5. Step 5: Solve for x
    x = 176,538.48/622.16
  6. Step 6: Final answer
    x = 283.75

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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.