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Finding the Fourth Proportional to 303.59, 455.27 and 108.56

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Solution

The fourth proportional to 303.59, 455.27 and 108.56 is: 162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.59 : 455.27 = 108.56 : x
  2. Step 2: Convert to fraction form
    303.59/455.27 = 108.56/x
  3. Step 3: Cross multiply
    303.59x = 455.27 × 108.56
  4. Step 4: Simplify right side
    303.59x = 49,421.29
  5. Step 5: Solve for x
    x = 49,421.29/303.59
  6. Step 6: Final answer
    x = 162.79

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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.