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Finding the Fourth Proportional to 367.70, 506.16 and 320.40

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Solution

The fourth proportional to 367.70, 506.16 and 320.40 is: 441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.70 : 506.16 = 320.40 : x
  2. Step 2: Convert to fraction form
    367.70/506.16 = 320.40/x
  3. Step 3: Cross multiply
    367.70x = 506.16 × 320.40
  4. Step 4: Simplify right side
    367.70x = 162,173.66
  5. Step 5: Solve for x
    x = 162,173.66/367.70
  6. Step 6: Final answer
    x = 441.05

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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.