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Finding the Fourth Proportional to 626.16, 939.36 and 193.22

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Solution

The fourth proportional to 626.16, 939.36 and 193.22 is: 289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.16 : 939.36 = 193.22 : x
  2. Step 2: Convert to fraction form
    626.16/939.36 = 193.22/x
  3. Step 3: Cross multiply
    626.16x = 939.36 × 193.22
  4. Step 4: Simplify right side
    626.16x = 181,502.69
  5. Step 5: Solve for x
    x = 181,502.69/626.16
  6. Step 6: Final answer
    x = 289.86

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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.