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Finding the Fourth Proportional to 494.10, 741.09 and 128.91

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Solution

The fourth proportional to 494.10, 741.09 and 128.91 is: 193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.10 : 741.09 = 128.91 : x
  2. Step 2: Convert to fraction form
    494.10/741.09 = 128.91/x
  3. Step 3: Cross multiply
    494.10x = 741.09 × 128.91
  4. Step 4: Simplify right side
    494.10x = 95,536.21
  5. Step 5: Solve for x
    x = 95,536.21/494.10
  6. Step 6: Final answer
    x = 193.36

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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.