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Finding the Fourth Proportional to 608.98, 912.17 and 261.87

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Solution

The fourth proportional to 608.98, 912.17 and 261.87 is: 392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.98 : 912.17 = 261.87 : x
  2. Step 2: Convert to fraction form
    608.98/912.17 = 261.87/x
  3. Step 3: Cross multiply
    608.98x = 912.17 × 261.87
  4. Step 4: Simplify right side
    608.98x = 238,869.96
  5. Step 5: Solve for x
    x = 238,869.96/608.98
  6. Step 6: Final answer
    x = 392.25

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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.