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Finding the Fourth Proportional to 252.86, 380.84 and 236.66

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Solution

The fourth proportional to 252.86, 380.84 and 236.66 is: 356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.86 : 380.84 = 236.66 : x
  2. Step 2: Convert to fraction form
    252.86/380.84 = 236.66/x
  3. Step 3: Cross multiply
    252.86x = 380.84 × 236.66
  4. Step 4: Simplify right side
    252.86x = 90,126.51
  5. Step 5: Solve for x
    x = 90,126.51/252.86
  6. Step 6: Final answer
    x = 356.44

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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.