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Finding the Fourth Proportional to 363.90, 502.19 and 206.51

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Solution

The fourth proportional to 363.90, 502.19 and 206.51 is: 284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.90 : 502.19 = 206.51 : x
  2. Step 2: Convert to fraction form
    363.90/502.19 = 206.51/x
  3. Step 3: Cross multiply
    363.90x = 502.19 × 206.51
  4. Step 4: Simplify right side
    363.90x = 103,707.26
  5. Step 5: Solve for x
    x = 103,707.26/363.90
  6. Step 6: Final answer
    x = 284.99

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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.