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Finding the Fourth Proportional to 302.62, 451.65 and 273.46

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Solution

The fourth proportional to 302.62, 451.65 and 273.46 is: 408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.62 : 451.65 = 273.46 : x
  2. Step 2: Convert to fraction form
    302.62/451.65 = 273.46/x
  3. Step 3: Cross multiply
    302.62x = 451.65 × 273.46
  4. Step 4: Simplify right side
    302.62x = 123,508.21
  5. Step 5: Solve for x
    x = 123,508.21/302.62
  6. Step 6: Final answer
    x = 408.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.