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Finding the Fourth Proportional to 304.09, 455.96 and 141.57

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Solution

The fourth proportional to 304.09, 455.96 and 141.57 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.09 : 455.96 = 141.57 : x
  2. Step 2: Convert to fraction form
    304.09/455.96 = 141.57/x
  3. Step 3: Cross multiply
    304.09x = 455.96 × 141.57
  4. Step 4: Simplify right side
    304.09x = 64,550.61
  5. Step 5: Solve for x
    x = 64,550.61/304.09
  6. Step 6: Final answer
    x = 212.28

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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.