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Finding the Fourth Proportional to 366.96, 503.70 and 324.58

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Solution

The fourth proportional to 366.96, 503.70 and 324.58 is: 445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.96 : 503.70 = 324.58 : x
  2. Step 2: Convert to fraction form
    366.96/503.70 = 324.58/x
  3. Step 3: Cross multiply
    366.96x = 503.70 × 324.58
  4. Step 4: Simplify right side
    366.96x = 163,490.95
  5. Step 5: Solve for x
    x = 163,490.95/366.96
  6. Step 6: Final answer
    x = 445.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.