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Finding the Fourth Proportional to 289.29, 434.16 and 197.70

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Solution

The fourth proportional to 289.29, 434.16 and 197.70 is: 296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.29 : 434.16 = 197.70 : x
  2. Step 2: Convert to fraction form
    289.29/434.16 = 197.70/x
  3. Step 3: Cross multiply
    289.29x = 434.16 × 197.70
  4. Step 4: Simplify right side
    289.29x = 85,833.43
  5. Step 5: Solve for x
    x = 85,833.43/289.29
  6. Step 6: Final answer
    x = 296.70

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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.