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Finding the Fourth Proportional to 205.40, 281.10 and 203.24

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Solution

The fourth proportional to 205.40, 281.10 and 203.24 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.40 : 281.10 = 203.24 : x
  2. Step 2: Convert to fraction form
    205.40/281.10 = 203.24/x
  3. Step 3: Cross multiply
    205.40x = 281.10 × 203.24
  4. Step 4: Simplify right side
    205.40x = 57,130.76
  5. Step 5: Solve for x
    x = 57,130.76/205.40
  6. Step 6: Final answer
    x = 278.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.