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Finding the Fourth Proportional to 289.24, 433.62 and 197.71

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Solution

The fourth proportional to 289.24, 433.62 and 197.71 is: 296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.24 : 433.62 = 197.71 : x
  2. Step 2: Convert to fraction form
    289.24/433.62 = 197.71/x
  3. Step 3: Cross multiply
    289.24x = 433.62 × 197.71
  4. Step 4: Simplify right side
    289.24x = 85,731.01
  5. Step 5: Solve for x
    x = 85,731.01/289.24
  6. Step 6: Final answer
    x = 296.40

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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.