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Finding the Fourth Proportional to 608.42, 912.39 and 261.78

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Solution

The fourth proportional to 608.42, 912.39 and 261.78 is: 392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.42 : 912.39 = 261.78 : x
  2. Step 2: Convert to fraction form
    608.42/912.39 = 261.78/x
  3. Step 3: Cross multiply
    608.42x = 912.39 × 261.78
  4. Step 4: Simplify right side
    608.42x = 238,845.45
  5. Step 5: Solve for x
    x = 238,845.45/608.42
  6. Step 6: Final answer
    x = 392.57

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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.