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Finding the Fourth Proportional to 252.40, 347.80 and 178.80

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Solution

The fourth proportional to 252.40, 347.80 and 178.80 is: 246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.40 : 347.80 = 178.80 : x
  2. Step 2: Convert to fraction form
    252.40/347.80 = 178.80/x
  3. Step 3: Cross multiply
    252.40x = 347.80 × 178.80
  4. Step 4: Simplify right side
    252.40x = 62,186.64
  5. Step 5: Solve for x
    x = 62,186.64/252.40
  6. Step 6: Final answer
    x = 246.38

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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.