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Finding the Fourth Proportional to 289.36, 433.20 and 207.92

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Solution

The fourth proportional to 289.36, 433.20 and 207.92 is: 311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.36 : 433.20 = 207.92 : x
  2. Step 2: Convert to fraction form
    289.36/433.20 = 207.92/x
  3. Step 3: Cross multiply
    289.36x = 433.20 × 207.92
  4. Step 4: Simplify right side
    289.36x = 90,070.94
  5. Step 5: Solve for x
    x = 90,070.94/289.36
  6. Step 6: Final answer
    x = 311.28

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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.