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Finding the Fourth Proportional to 297.14, 410.18 and 223.47

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Solution

The fourth proportional to 297.14, 410.18 and 223.47 is: 308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.14 : 410.18 = 223.47 : x
  2. Step 2: Convert to fraction form
    297.14/410.18 = 223.47/x
  3. Step 3: Cross multiply
    297.14x = 410.18 × 223.47
  4. Step 4: Simplify right side
    297.14x = 91,661.81
  5. Step 5: Solve for x
    x = 91,661.81/297.14
  6. Step 6: Final answer
    x = 308.49

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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.