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Finding the Fourth Proportional to 363.12, 501.06 and 205.74

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Solution

The fourth proportional to 363.12, 501.06 and 205.74 is: 283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.12 : 501.06 = 205.74 : x
  2. Step 2: Convert to fraction form
    363.12/501.06 = 205.74/x
  3. Step 3: Cross multiply
    363.12x = 501.06 × 205.74
  4. Step 4: Simplify right side
    363.12x = 103,088.08
  5. Step 5: Solve for x
    x = 103,088.08/363.12
  6. Step 6: Final answer
    x = 283.90

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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.