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Finding the Fourth Proportional to 252.22, 347.78 and 178.58

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Solution

The fourth proportional to 252.22, 347.78 and 178.58 is: 246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.22 : 347.78 = 178.58 : x
  2. Step 2: Convert to fraction form
    252.22/347.78 = 178.58/x
  3. Step 3: Cross multiply
    252.22x = 347.78 × 178.58
  4. Step 4: Simplify right side
    252.22x = 62,106.55
  5. Step 5: Solve for x
    x = 62,106.55/252.22
  6. Step 6: Final answer
    x = 246.24

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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.