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Finding the Fourth Proportional to 363.16, 501.22 and 230.50

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Solution

The fourth proportional to 363.16, 501.22 and 230.50 is: 318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.16 : 501.22 = 230.50 : x
  2. Step 2: Convert to fraction form
    363.16/501.22 = 230.50/x
  3. Step 3: Cross multiply
    363.16x = 501.22 × 230.50
  4. Step 4: Simplify right side
    363.16x = 115,531.21
  5. Step 5: Solve for x
    x = 115,531.21/363.16
  6. Step 6: Final answer
    x = 318.13

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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.