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Finding the Fourth Proportional to 289.52, 434.04 and 181.52

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Solution

The fourth proportional to 289.52, 434.04 and 181.52 is: 272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.52 : 434.04 = 181.52 : x
  2. Step 2: Convert to fraction form
    289.52/434.04 = 181.52/x
  3. Step 3: Cross multiply
    289.52x = 434.04 × 181.52
  4. Step 4: Simplify right side
    289.52x = 78,786.94
  5. Step 5: Solve for x
    x = 78,786.94/289.52
  6. Step 6: Final answer
    x = 272.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.