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Finding the Fourth Proportional to 252.36, 380.07 and 212.04

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Solution

The fourth proportional to 252.36, 380.07 and 212.04 is: 319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.36 : 380.07 = 212.04 : x
  2. Step 2: Convert to fraction form
    252.36/380.07 = 212.04/x
  3. Step 3: Cross multiply
    252.36x = 380.07 × 212.04
  4. Step 4: Simplify right side
    252.36x = 80,590.04
  5. Step 5: Solve for x
    x = 80,590.04/252.36
  6. Step 6: Final answer
    x = 319.35

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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.