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Finding the Fourth Proportional to 474.35, 709.97 and 254.66

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Solution

The fourth proportional to 474.35, 709.97 and 254.66 is: 381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.35 : 709.97 = 254.66 : x
  2. Step 2: Convert to fraction form
    474.35/709.97 = 254.66/x
  3. Step 3: Cross multiply
    474.35x = 709.97 × 254.66
  4. Step 4: Simplify right side
    474.35x = 180,796.14
  5. Step 5: Solve for x
    x = 180,796.14/474.35
  6. Step 6: Final answer
    x = 381.15

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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.