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Finding the Fourth Proportional to 252.06, 377.76 and 194.10

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Solution

The fourth proportional to 252.06, 377.76 and 194.10 is: 290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.06 : 377.76 = 194.10 : x
  2. Step 2: Convert to fraction form
    252.06/377.76 = 194.10/x
  3. Step 3: Cross multiply
    252.06x = 377.76 × 194.10
  4. Step 4: Simplify right side
    252.06x = 73,322.53
  5. Step 5: Solve for x
    x = 73,322.53/252.06
  6. Step 6: Final answer
    x = 290.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.