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Finding the Fourth Proportional to 363.30, 501.44 and 230.60

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Solution

The fourth proportional to 363.30, 501.44 and 230.60 is: 318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.30 : 501.44 = 230.60 : x
  2. Step 2: Convert to fraction form
    363.30/501.44 = 230.60/x
  3. Step 3: Cross multiply
    363.30x = 501.44 × 230.60
  4. Step 4: Simplify right side
    363.30x = 115,630.13
  5. Step 5: Solve for x
    x = 115,630.13/363.30
  6. Step 6: Final answer
    x = 318.28

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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.