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Finding the Fourth Proportional to 318.82, 440.28 and 301.57

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Solution

The fourth proportional to 318.82, 440.28 and 301.57 is: 416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.82 : 440.28 = 301.57 : x
  2. Step 2: Convert to fraction form
    318.82/440.28 = 301.57/x
  3. Step 3: Cross multiply
    318.82x = 440.28 × 301.57
  4. Step 4: Simplify right side
    318.82x = 132,775.24
  5. Step 5: Solve for x
    x = 132,775.24/318.82
  6. Step 6: Final answer
    x = 416.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.