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Finding the Fourth Proportional to 303.78, 455.21 and 141.28

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Solution

The fourth proportional to 303.78, 455.21 and 141.28 is: 211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.78 : 455.21 = 141.28 : x
  2. Step 2: Convert to fraction form
    303.78/455.21 = 141.28/x
  3. Step 3: Cross multiply
    303.78x = 455.21 × 141.28
  4. Step 4: Simplify right side
    303.78x = 64,309.09
  5. Step 5: Solve for x
    x = 64,309.09/303.78
  6. Step 6: Final answer
    x = 211.70

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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.