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Finding the Fourth Proportional to 289.26, 433.80 and 248.58

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Solution

The fourth proportional to 289.26, 433.80 and 248.58 is: 372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.26 : 433.80 = 248.58 : x
  2. Step 2: Convert to fraction form
    289.26/433.80 = 248.58/x
  3. Step 3: Cross multiply
    289.26x = 433.80 × 248.58
  4. Step 4: Simplify right side
    289.26x = 107,834.00
  5. Step 5: Solve for x
    x = 107,834.00/289.26
  6. Step 6: Final answer
    x = 372.79

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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.