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Finding the Fourth Proportional to 367.91, 506.15 and 357.66

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Solution

The fourth proportional to 367.91, 506.15 and 357.66 is: 492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.91 : 506.15 = 357.66 : x
  2. Step 2: Convert to fraction form
    367.91/506.15 = 357.66/x
  3. Step 3: Cross multiply
    367.91x = 506.15 × 357.66
  4. Step 4: Simplify right side
    367.91x = 181,027.82
  5. Step 5: Solve for x
    x = 181,027.82/367.91
  6. Step 6: Final answer
    x = 492.04

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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.