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Finding the Fourth Proportional to 363.02, 501 and 207.78

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Solution

The fourth proportional to 363.02, 501 and 207.78 is: 286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.02 : 501 = 207.78 : x
  2. Step 2: Convert to fraction form
    363.02/501 = 207.78/x
  3. Step 3: Cross multiply
    363.02x = 501 × 207.78
  4. Step 4: Simplify right side
    363.02x = 104,097.78
  5. Step 5: Solve for x
    x = 104,097.78/363.02
  6. Step 6: Final answer
    x = 286.75

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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.