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Finding the Fourth Proportional to 452.82, 625.20 and 295.68

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Solution

The fourth proportional to 452.82, 625.20 and 295.68 is: 408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.82 : 625.20 = 295.68 : x
  2. Step 2: Convert to fraction form
    452.82/625.20 = 295.68/x
  3. Step 3: Cross multiply
    452.82x = 625.20 × 295.68
  4. Step 4: Simplify right side
    452.82x = 184,859.14
  5. Step 5: Solve for x
    x = 184,859.14/452.82
  6. Step 6: Final answer
    x = 408.24

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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.