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Finding the Fourth Proportional to 289.35, 431.20 and 281.00

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Solution

The fourth proportional to 289.35, 431.20 and 281.00 is: 418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.35 : 431.20 = 281.00 : x
  2. Step 2: Convert to fraction form
    289.35/431.20 = 281.00/x
  3. Step 3: Cross multiply
    289.35x = 431.20 × 281.00
  4. Step 4: Simplify right side
    289.35x = 121,168.63
  5. Step 5: Solve for x
    x = 121,168.63/289.35
  6. Step 6: Final answer
    x = 418.76

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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.