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Finding the Fourth Proportional to 289.80, 431.87 and 281.01

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Solution

The fourth proportional to 289.80, 431.87 and 281.01 is: 418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.80 : 431.87 = 281.01 : x
  2. Step 2: Convert to fraction form
    289.80/431.87 = 281.01/x
  3. Step 3: Cross multiply
    289.80x = 431.87 × 281.01
  4. Step 4: Simplify right side
    289.80x = 121,359.79
  5. Step 5: Solve for x
    x = 121,359.79/289.80
  6. Step 6: Final answer
    x = 418.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.