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Finding the Fourth Proportional to 207.18, 288.20 and 203.22

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Solution

The fourth proportional to 207.18, 288.20 and 203.22 is: 282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.18 : 288.20 = 203.22 : x
  2. Step 2: Convert to fraction form
    207.18/288.20 = 203.22/x
  3. Step 3: Cross multiply
    207.18x = 288.20 × 203.22
  4. Step 4: Simplify right side
    207.18x = 58,566.99
  5. Step 5: Solve for x
    x = 58,566.99/207.18
  6. Step 6: Final answer
    x = 282.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.