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Finding the Fourth Proportional to 289.21, 433.13 and 251

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Solution

The fourth proportional to 289.21, 433.13 and 251 is: 375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.21 : 433.13 = 251 : x
  2. Step 2: Convert to fraction form
    289.21/433.13 = 251/x
  3. Step 3: Cross multiply
    289.21x = 433.13 × 251
  4. Step 4: Simplify right side
    289.21x = 108,715.63
  5. Step 5: Solve for x
    x = 108,715.63/289.21
  6. Step 6: Final answer
    x = 375.91

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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.