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Finding the Fourth Proportional to 289.59, 436.50 and 272.85

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Solution

The fourth proportional to 289.59, 436.50 and 272.85 is: 411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.59 : 436.50 = 272.85 : x
  2. Step 2: Convert to fraction form
    289.59/436.50 = 272.85/x
  3. Step 3: Cross multiply
    289.59x = 436.50 × 272.85
  4. Step 4: Simplify right side
    289.59x = 119,099.03
  5. Step 5: Solve for x
    x = 119,099.03/289.59
  6. Step 6: Final answer
    x = 411.27

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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.