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Finding the Fourth Proportional to 289.26, 431.78 and 251.01

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Solution

The fourth proportional to 289.26, 431.78 and 251.01 is: 374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.26 : 431.78 = 251.01 : x
  2. Step 2: Convert to fraction form
    289.26/431.78 = 251.01/x
  3. Step 3: Cross multiply
    289.26x = 431.78 × 251.01
  4. Step 4: Simplify right side
    289.26x = 108,381.10
  5. Step 5: Solve for x
    x = 108,381.10/289.26
  6. Step 6: Final answer
    x = 374.68

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