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Finding the Fourth Proportional to 299.96, 412.98 and 250.76

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Solution

The fourth proportional to 299.96, 412.98 and 250.76 is: 345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 412.98 = 250.76 : x
  2. Step 2: Convert to fraction form
    299.96/412.98 = 250.76/x
  3. Step 3: Cross multiply
    299.96x = 412.98 × 250.76
  4. Step 4: Simplify right side
    299.96x = 103,558.86
  5. Step 5: Solve for x
    x = 103,558.86/299.96
  6. Step 6: Final answer
    x = 345.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.