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Finding the Fourth Proportional to 303.55, 455.00 and 108.36

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Solution

The fourth proportional to 303.55, 455.00 and 108.36 is: 162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.55 : 455.00 = 108.36 : x
  2. Step 2: Convert to fraction form
    303.55/455.00 = 108.36/x
  3. Step 3: Cross multiply
    303.55x = 455.00 × 108.36
  4. Step 4: Simplify right side
    303.55x = 49,303.26
  5. Step 5: Solve for x
    x = 49,303.26/303.55
  6. Step 6: Final answer
    x = 162.42

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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.