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Finding the Fourth Proportional to 289.63, 433.80 and 208.22

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Solution

The fourth proportional to 289.63, 433.80 and 208.22 is: 311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.63 : 433.80 = 208.22 : x
  2. Step 2: Convert to fraction form
    289.63/433.80 = 208.22/x
  3. Step 3: Cross multiply
    289.63x = 433.80 × 208.22
  4. Step 4: Simplify right side
    289.63x = 90,325.84
  5. Step 5: Solve for x
    x = 90,325.84/289.63
  6. Step 6: Final answer
    x = 311.87

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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.