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Finding the Fourth Proportional to 306.54, 423.02 and 180.59

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Solution

The fourth proportional to 306.54, 423.02 and 180.59 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.54 : 423.02 = 180.59 : x
  2. Step 2: Convert to fraction form
    306.54/423.02 = 180.59/x
  3. Step 3: Cross multiply
    306.54x = 423.02 × 180.59
  4. Step 4: Simplify right side
    306.54x = 76,391.52
  5. Step 5: Solve for x
    x = 76,391.52/306.54
  6. Step 6: Final answer
    x = 249.21

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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.