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Finding the Fourth Proportional to 297.14, 410.27 and 275.27

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Solution

The fourth proportional to 297.14, 410.27 and 275.27 is: 380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.14 : 410.27 = 275.27 : x
  2. Step 2: Convert to fraction form
    297.14/410.27 = 275.27/x
  3. Step 3: Cross multiply
    297.14x = 410.27 × 275.27
  4. Step 4: Simplify right side
    297.14x = 112,931.60
  5. Step 5: Solve for x
    x = 112,931.60/297.14
  6. Step 6: Final answer
    x = 380.07

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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.