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Finding the Fourth Proportional to 289.88, 433.06 and 232.24

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Solution

The fourth proportional to 289.88, 433.06 and 232.24 is: 346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.88 : 433.06 = 232.24 : x
  2. Step 2: Convert to fraction form
    289.88/433.06 = 232.24/x
  3. Step 3: Cross multiply
    289.88x = 433.06 × 232.24
  4. Step 4: Simplify right side
    289.88x = 100,573.85
  5. Step 5: Solve for x
    x = 100,573.85/289.88
  6. Step 6: Final answer
    x = 346.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.