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Finding the Fourth Proportional to 367.08, 505.40 and 366

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Solution

The fourth proportional to 367.08, 505.40 and 366 is: 503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.08 : 505.40 = 366 : x
  2. Step 2: Convert to fraction form
    367.08/505.40 = 366/x
  3. Step 3: Cross multiply
    367.08x = 505.40 × 366
  4. Step 4: Simplify right side
    367.08x = 184,976.40
  5. Step 5: Solve for x
    x = 184,976.40/367.08
  6. Step 6: Final answer
    x = 503.91

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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.