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Finding the Fourth Proportional to 352.69, 486.63 and 203.32

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Solution

The fourth proportional to 352.69, 486.63 and 203.32 is: 280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.69 : 486.63 = 203.32 : x
  2. Step 2: Convert to fraction form
    352.69/486.63 = 203.32/x
  3. Step 3: Cross multiply
    352.69x = 486.63 × 203.32
  4. Step 4: Simplify right side
    352.69x = 98,941.61
  5. Step 5: Solve for x
    x = 98,941.61/352.69
  6. Step 6: Final answer
    x = 280.53

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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.