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Finding the Fourth Proportional to 295.82, 408.36 and 266.16

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Solution

The fourth proportional to 295.82, 408.36 and 266.16 is: 367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.82 : 408.36 = 266.16 : x
  2. Step 2: Convert to fraction form
    295.82/408.36 = 266.16/x
  3. Step 3: Cross multiply
    295.82x = 408.36 × 266.16
  4. Step 4: Simplify right side
    295.82x = 108,689.10
  5. Step 5: Solve for x
    x = 108,689.10/295.82
  6. Step 6: Final answer
    x = 367.42

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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.