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Finding the Fourth Proportional to 367.58, 506.09 and 312.23

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Solution

The fourth proportional to 367.58, 506.09 and 312.23 is: 429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.58 : 506.09 = 312.23 : x
  2. Step 2: Convert to fraction form
    367.58/506.09 = 312.23/x
  3. Step 3: Cross multiply
    367.58x = 506.09 × 312.23
  4. Step 4: Simplify right side
    367.58x = 158,012.39
  5. Step 5: Solve for x
    x = 158,012.39/367.58
  6. Step 6: Final answer
    x = 429.88

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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.