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Finding the Fourth Proportional to 303.36, 455.10 and 166.53

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Solution

The fourth proportional to 303.36, 455.10 and 166.53 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.36 : 455.10 = 166.53 : x
  2. Step 2: Convert to fraction form
    303.36/455.10 = 166.53/x
  3. Step 3: Cross multiply
    303.36x = 455.10 × 166.53
  4. Step 4: Simplify right side
    303.36x = 75,787.80
  5. Step 5: Solve for x
    x = 75,787.80/303.36
  6. Step 6: Final answer
    x = 249.83

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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.