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Finding the Fourth Proportional to 203.49, 280.77 and 116.13

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Solution

The fourth proportional to 203.49, 280.77 and 116.13 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.49 : 280.77 = 116.13 : x
  2. Step 2: Convert to fraction form
    203.49/280.77 = 116.13/x
  3. Step 3: Cross multiply
    203.49x = 280.77 × 116.13
  4. Step 4: Simplify right side
    203.49x = 32,605.82
  5. Step 5: Solve for x
    x = 32,605.82/203.49
  6. Step 6: Final answer
    x = 160.23

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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.