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Finding the Fourth Proportional to 306.71, 462.13 and 273.55

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Solution

The fourth proportional to 306.71, 462.13 and 273.55 is: 412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.71 : 462.13 = 273.55 : x
  2. Step 2: Convert to fraction form
    306.71/462.13 = 273.55/x
  3. Step 3: Cross multiply
    306.71x = 462.13 × 273.55
  4. Step 4: Simplify right side
    306.71x = 126,416.76
  5. Step 5: Solve for x
    x = 126,416.76/306.71
  6. Step 6: Final answer
    x = 412.17

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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.