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Finding the Fourth Proportional to 363.88, 501.78 and 305.56

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Solution

The fourth proportional to 363.88, 501.78 and 305.56 is: 421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.88 : 501.78 = 305.56 : x
  2. Step 2: Convert to fraction form
    363.88/501.78 = 305.56/x
  3. Step 3: Cross multiply
    363.88x = 501.78 × 305.56
  4. Step 4: Simplify right side
    363.88x = 153,323.90
  5. Step 5: Solve for x
    x = 153,323.90/363.88
  6. Step 6: Final answer
    x = 421.36

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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.