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Finding the Fourth Proportional to 364.68, 503.43 and 248.85

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Solution

The fourth proportional to 364.68, 503.43 and 248.85 is: 343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.68 : 503.43 = 248.85 : x
  2. Step 2: Convert to fraction form
    364.68/503.43 = 248.85/x
  3. Step 3: Cross multiply
    364.68x = 503.43 × 248.85
  4. Step 4: Simplify right side
    364.68x = 125,278.56
  5. Step 5: Solve for x
    x = 125,278.56/364.68
  6. Step 6: Final answer
    x = 343.53

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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.