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Finding the Fourth Proportional to 367, 505.76 and 235.80

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Solution

The fourth proportional to 367, 505.76 and 235.80 is: 324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    367 : 505.76 = 235.80 : x
  2. Step 2: Convert to fraction form
    367/505.76 = 235.80/x
  3. Step 3: Cross multiply
    367x = 505.76 × 235.80
  4. Step 4: Simplify right side
    367x = 119,258.21
  5. Step 5: Solve for x
    x = 119,258.21/367
  6. Step 6: Final answer
    x = 324.95

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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.