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Finding the Fourth Proportional to 299.80, 450.14 and 155.64

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Solution

The fourth proportional to 299.80, 450.14 and 155.64 is: 233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.80 : 450.14 = 155.64 : x
  2. Step 2: Convert to fraction form
    299.80/450.14 = 155.64/x
  3. Step 3: Cross multiply
    299.80x = 450.14 × 155.64
  4. Step 4: Simplify right side
    299.80x = 70,059.79
  5. Step 5: Solve for x
    x = 70,059.79/299.80
  6. Step 6: Final answer
    x = 233.69

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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.