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Finding the Fourth Proportional to 251.74, 347.59 and 177.22

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Solution

The fourth proportional to 251.74, 347.59 and 177.22 is: 244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.74 : 347.59 = 177.22 : x
  2. Step 2: Convert to fraction form
    251.74/347.59 = 177.22/x
  3. Step 3: Cross multiply
    251.74x = 347.59 × 177.22
  4. Step 4: Simplify right side
    251.74x = 61,600.56
  5. Step 5: Solve for x
    x = 61,600.56/251.74
  6. Step 6: Final answer
    x = 244.70

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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.