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Finding the Fourth Proportional to 362.53, 500.28 and 205.17

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Solution

The fourth proportional to 362.53, 500.28 and 205.17 is: 283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.53 : 500.28 = 205.17 : x
  2. Step 2: Convert to fraction form
    362.53/500.28 = 205.17/x
  3. Step 3: Cross multiply
    362.53x = 500.28 × 205.17
  4. Step 4: Simplify right side
    362.53x = 102,642.45
  5. Step 5: Solve for x
    x = 102,642.45/362.53
  6. Step 6: Final answer
    x = 283.13

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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.