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Finding the Fourth Proportional to 289.64, 434.82 and 185.76

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Solution

The fourth proportional to 289.64, 434.82 and 185.76 is: 278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.64 : 434.82 = 185.76 : x
  2. Step 2: Convert to fraction form
    289.64/434.82 = 185.76/x
  3. Step 3: Cross multiply
    289.64x = 434.82 × 185.76
  4. Step 4: Simplify right side
    289.64x = 80,772.16
  5. Step 5: Solve for x
    x = 80,772.16/289.64
  6. Step 6: Final answer
    x = 278.87

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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.