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Finding the Fourth Proportional to 297.42, 410.55 and 227.47

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Solution

The fourth proportional to 297.42, 410.55 and 227.47 is: 313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 410.55 = 227.47 : x
  2. Step 2: Convert to fraction form
    297.42/410.55 = 227.47/x
  3. Step 3: Cross multiply
    297.42x = 410.55 × 227.47
  4. Step 4: Simplify right side
    297.42x = 93,387.81
  5. Step 5: Solve for x
    x = 93,387.81/297.42
  6. Step 6: Final answer
    x = 313.99

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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.