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Finding the Fourth Proportional to 363.51, 547.71 and 324.21

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Solution

The fourth proportional to 363.51, 547.71 and 324.21 is: 488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.51 : 547.71 = 324.21 : x
  2. Step 2: Convert to fraction form
    363.51/547.71 = 324.21/x
  3. Step 3: Cross multiply
    363.51x = 547.71 × 324.21
  4. Step 4: Simplify right side
    363.51x = 177,573.06
  5. Step 5: Solve for x
    x = 177,573.06/363.51
  6. Step 6: Final answer
    x = 488.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.