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Finding the Fourth Proportional to 604.42, 906.72 and 193.46

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Solution

The fourth proportional to 604.42, 906.72 and 193.46 is: 290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.42 : 906.72 = 193.46 : x
  2. Step 2: Convert to fraction form
    604.42/906.72 = 193.46/x
  3. Step 3: Cross multiply
    604.42x = 906.72 × 193.46
  4. Step 4: Simplify right side
    604.42x = 175,414.05
  5. Step 5: Solve for x
    x = 175,414.05/604.42
  6. Step 6: Final answer
    x = 290.22

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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.