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Finding the Fourth Proportional to 302.76, 456.24 and 273.96

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Solution

The fourth proportional to 302.76, 456.24 and 273.96 is: 412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.76 : 456.24 = 273.96 : x
  2. Step 2: Convert to fraction form
    302.76/456.24 = 273.96/x
  3. Step 3: Cross multiply
    302.76x = 456.24 × 273.96
  4. Step 4: Simplify right side
    302.76x = 124,991.51
  5. Step 5: Solve for x
    x = 124,991.51/302.76
  6. Step 6: Final answer
    x = 412.84

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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.