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Finding the Fourth Proportional to 604.39, 906.26 and 187.81

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Solution

The fourth proportional to 604.39, 906.26 and 187.81 is: 281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.39 : 906.26 = 187.81 : x
  2. Step 2: Convert to fraction form
    604.39/906.26 = 187.81/x
  3. Step 3: Cross multiply
    604.39x = 906.26 × 187.81
  4. Step 4: Simplify right side
    604.39x = 170,199.22
  5. Step 5: Solve for x
    x = 170,199.22/604.39
  6. Step 6: Final answer
    x = 281.60

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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.