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Finding the Fourth Proportional to 494.09, 741.06 and 128.87

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Solution

The fourth proportional to 494.09, 741.06 and 128.87 is: 193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.09 : 741.06 = 128.87 : x
  2. Step 2: Convert to fraction form
    494.09/741.06 = 128.87/x
  3. Step 3: Cross multiply
    494.09x = 741.06 × 128.87
  4. Step 4: Simplify right side
    494.09x = 95,496.70
  5. Step 5: Solve for x
    x = 95,496.70/494.09
  6. Step 6: Final answer
    x = 193.28

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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.