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Finding the Fourth Proportional to 289.59, 436.79 and 255.80

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Solution

The fourth proportional to 289.59, 436.79 and 255.80 is: 385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.59 : 436.79 = 255.80 : x
  2. Step 2: Convert to fraction form
    289.59/436.79 = 255.80/x
  3. Step 3: Cross multiply
    289.59x = 436.79 × 255.80
  4. Step 4: Simplify right side
    289.59x = 111,727.42
  5. Step 5: Solve for x
    x = 111,727.42/289.59
  6. Step 6: Final answer
    x = 385.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.