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Finding the Fourth Proportional to 300.71, 453.60 and 266.90

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Solution

The fourth proportional to 300.71, 453.60 and 266.90 is: 402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.71 : 453.60 = 266.90 : x
  2. Step 2: Convert to fraction form
    300.71/453.60 = 266.90/x
  3. Step 3: Cross multiply
    300.71x = 453.60 × 266.90
  4. Step 4: Simplify right side
    300.71x = 121,063.57
  5. Step 5: Solve for x
    x = 121,063.57/300.71
  6. Step 6: Final answer
    x = 402.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.