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Finding the Fourth Proportional to 363.47, 501.59 and 206.10

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Solution

The fourth proportional to 363.47, 501.59 and 206.10 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.47 : 501.59 = 206.10 : x
  2. Step 2: Convert to fraction form
    363.47/501.59 = 206.10/x
  3. Step 3: Cross multiply
    363.47x = 501.59 × 206.10
  4. Step 4: Simplify right side
    363.47x = 103,378.21
  5. Step 5: Solve for x
    x = 103,378.21/363.47
  6. Step 6: Final answer
    x = 284.42

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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.