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Finding the Fourth Proportional to 295.26, 445.07 and 269.34

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Solution

The fourth proportional to 295.26, 445.07 and 269.34 is: 405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.26 : 445.07 = 269.34 : x
  2. Step 2: Convert to fraction form
    295.26/445.07 = 269.34/x
  3. Step 3: Cross multiply
    295.26x = 445.07 × 269.34
  4. Step 4: Simplify right side
    295.26x = 119,873.81
  5. Step 5: Solve for x
    x = 119,873.81/295.26
  6. Step 6: Final answer
    x = 405.99

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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.