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Finding the Fourth Proportional to 251.74, 347.04 and 177.94

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Solution

The fourth proportional to 251.74, 347.04 and 177.94 is: 245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.74 : 347.04 = 177.94 : x
  2. Step 2: Convert to fraction form
    251.74/347.04 = 177.94/x
  3. Step 3: Cross multiply
    251.74x = 347.04 × 177.94
  4. Step 4: Simplify right side
    251.74x = 61,752.30
  5. Step 5: Solve for x
    x = 61,752.30/251.74
  6. Step 6: Final answer
    x = 245.30

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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.