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Finding the Fourth Proportional to 302.74, 456.20 and 273.86

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Solution

The fourth proportional to 302.74, 456.20 and 273.86 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.74 : 456.20 = 273.86 : x
  2. Step 2: Convert to fraction form
    302.74/456.20 = 273.86/x
  3. Step 3: Cross multiply
    302.74x = 456.20 × 273.86
  4. Step 4: Simplify right side
    302.74x = 124,934.93
  5. Step 5: Solve for x
    x = 124,934.93/302.74
  6. Step 6: Final answer
    x = 412.68

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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.