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Finding the Fourth Proportional to 303.64, 418.87 and 187.27

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Solution

The fourth proportional to 303.64, 418.87 and 187.27 is: 258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.64 : 418.87 = 187.27 : x
  2. Step 2: Convert to fraction form
    303.64/418.87 = 187.27/x
  3. Step 3: Cross multiply
    303.64x = 418.87 × 187.27
  4. Step 4: Simplify right side
    303.64x = 78,441.78
  5. Step 5: Solve for x
    x = 78,441.78/303.64
  6. Step 6: Final answer
    x = 258.34

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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.