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Finding the Fourth Proportional to 203.55, 280.80 and 162.17

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Solution

The fourth proportional to 203.55, 280.80 and 162.17 is: 223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.55 : 280.80 = 162.17 : x
  2. Step 2: Convert to fraction form
    203.55/280.80 = 162.17/x
  3. Step 3: Cross multiply
    203.55x = 280.80 × 162.17
  4. Step 4: Simplify right side
    203.55x = 45,536.99
  5. Step 5: Solve for x
    x = 45,536.99/203.55
  6. Step 6: Final answer
    x = 223.72

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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.