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Finding the Fourth Proportional to 251.74, 376.14 and 203.14

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Solution

The fourth proportional to 251.74, 376.14 and 203.14 is: 303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.74 : 376.14 = 203.14 : x
  2. Step 2: Convert to fraction form
    251.74/376.14 = 203.14/x
  3. Step 3: Cross multiply
    251.74x = 376.14 × 203.14
  4. Step 4: Simplify right side
    251.74x = 76,409.08
  5. Step 5: Solve for x
    x = 76,409.08/251.74
  6. Step 6: Final answer
    x = 303.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.