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Finding the Fourth Proportional to 306.57, 423.27 and 273.77

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Solution

The fourth proportional to 306.57, 423.27 and 273.77 is: 377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.57 : 423.27 = 273.77 : x
  2. Step 2: Convert to fraction form
    306.57/423.27 = 273.77/x
  3. Step 3: Cross multiply
    306.57x = 423.27 × 273.77
  4. Step 4: Simplify right side
    306.57x = 115,878.63
  5. Step 5: Solve for x
    x = 115,878.63/306.57
  6. Step 6: Final answer
    x = 377.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.