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Finding the Fourth Proportional to 295.85, 408.63 and 268.51

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Solution

The fourth proportional to 295.85, 408.63 and 268.51 is: 370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.85 : 408.63 = 268.51 : x
  2. Step 2: Convert to fraction form
    295.85/408.63 = 268.51/x
  3. Step 3: Cross multiply
    295.85x = 408.63 × 268.51
  4. Step 4: Simplify right side
    295.85x = 109,719.90
  5. Step 5: Solve for x
    x = 109,719.90/295.85
  6. Step 6: Final answer
    x = 370.87

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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.