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Finding the Fourth Proportional to 303.46, 456.72 and 273.64

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Solution

The fourth proportional to 303.46, 456.72 and 273.64 is: 411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.46 : 456.72 = 273.64 : x
  2. Step 2: Convert to fraction form
    303.46/456.72 = 273.64/x
  3. Step 3: Cross multiply
    303.46x = 456.72 × 273.64
  4. Step 4: Simplify right side
    303.46x = 124,976.86
  5. Step 5: Solve for x
    x = 124,976.86/303.46
  6. Step 6: Final answer
    x = 411.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.