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Finding the Fourth Proportional to 203.48, 282.02 and 200.72

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Solution

The fourth proportional to 203.48, 282.02 and 200.72 is: 278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.48 : 282.02 = 200.72 : x
  2. Step 2: Convert to fraction form
    203.48/282.02 = 200.72/x
  3. Step 3: Cross multiply
    203.48x = 282.02 × 200.72
  4. Step 4: Simplify right side
    203.48x = 56,607.05
  5. Step 5: Solve for x
    x = 56,607.05/203.48
  6. Step 6: Final answer
    x = 278.19

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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.