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Finding the Fourth Proportional to 295.25, 441.71 and 213.14

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Solution

The fourth proportional to 295.25, 441.71 and 213.14 is: 318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.25 : 441.71 = 213.14 : x
  2. Step 2: Convert to fraction form
    295.25/441.71 = 213.14/x
  3. Step 3: Cross multiply
    295.25x = 441.71 × 213.14
  4. Step 4: Simplify right side
    295.25x = 94,145.50
  5. Step 5: Solve for x
    x = 94,145.50/295.25
  6. Step 6: Final answer
    x = 318.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.