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Finding the Fourth Proportional to 289.81, 400.40 and 202.87

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Solution

The fourth proportional to 289.81, 400.40 and 202.87 is: 280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.81 : 400.40 = 202.87 : x
  2. Step 2: Convert to fraction form
    289.81/400.40 = 202.87/x
  3. Step 3: Cross multiply
    289.81x = 400.40 × 202.87
  4. Step 4: Simplify right side
    289.81x = 81,229.15
  5. Step 5: Solve for x
    x = 81,229.15/289.81
  6. Step 6: Final answer
    x = 280.28

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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.