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Finding the Fourth Proportional to 251.81, 347.37 and 178.16

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Solution

The fourth proportional to 251.81, 347.37 and 178.16 is: 245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.81 : 347.37 = 178.16 : x
  2. Step 2: Convert to fraction form
    251.81/347.37 = 178.16/x
  3. Step 3: Cross multiply
    251.81x = 347.37 × 178.16
  4. Step 4: Simplify right side
    251.81x = 61,888.75
  5. Step 5: Solve for x
    x = 61,888.75/251.81
  6. Step 6: Final answer
    x = 245.78

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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.