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Finding the Fourth Proportional to 303.14, 454.62 and 129.74

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Solution

The fourth proportional to 303.14, 454.62 and 129.74 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.14 : 454.62 = 129.74 : x
  2. Step 2: Convert to fraction form
    303.14/454.62 = 129.74/x
  3. Step 3: Cross multiply
    303.14x = 454.62 × 129.74
  4. Step 4: Simplify right side
    303.14x = 58,983.54
  5. Step 5: Solve for x
    x = 58,983.54/303.14
  6. Step 6: Final answer
    x = 194.58

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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.