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Finding the Fourth Proportional to 318.56, 440.64 and 297.97

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Solution

The fourth proportional to 318.56, 440.64 and 297.97 is: 412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.56 : 440.64 = 297.97 : x
  2. Step 2: Convert to fraction form
    318.56/440.64 = 297.97/x
  3. Step 3: Cross multiply
    318.56x = 440.64 × 297.97
  4. Step 4: Simplify right side
    318.56x = 131,296.40
  5. Step 5: Solve for x
    x = 131,296.40/318.56
  6. Step 6: Final answer
    x = 412.16

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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.