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Finding the Fourth Proportional to 408, 562.86 and 266.22

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Solution

The fourth proportional to 408, 562.86 and 266.22 is: 367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 562.86 = 266.22 : x
  2. Step 2: Convert to fraction form
    408/562.86 = 266.22/x
  3. Step 3: Cross multiply
    408x = 562.86 × 266.22
  4. Step 4: Simplify right side
    408x = 149,844.59
  5. Step 5: Solve for x
    x = 149,844.59/408
  6. Step 6: Final answer
    x = 367.27

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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.