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Finding the Fourth Proportional to 363.29, 501.90 and 253.33

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Solution

The fourth proportional to 363.29, 501.90 and 253.33 is: 349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.29 : 501.90 = 253.33 : x
  2. Step 2: Convert to fraction form
    363.29/501.90 = 253.33/x
  3. Step 3: Cross multiply
    363.29x = 501.90 × 253.33
  4. Step 4: Simplify right side
    363.29x = 127,144.12
  5. Step 5: Solve for x
    x = 127,144.12/363.29
  6. Step 6: Final answer
    x = 349.98

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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.