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Finding the Fourth Proportional to 303.55, 455.46 and 111.13

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Solution

The fourth proportional to 303.55, 455.46 and 111.13 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.55 : 455.46 = 111.13 : x
  2. Step 2: Convert to fraction form
    303.55/455.46 = 111.13/x
  3. Step 3: Cross multiply
    303.55x = 455.46 × 111.13
  4. Step 4: Simplify right side
    303.55x = 50,612.44
  5. Step 5: Solve for x
    x = 50,612.44/303.55
  6. Step 6: Final answer
    x = 166.74

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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.