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Finding the Fourth Proportional to 303.88, 455.28 and 208.12

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Solution

The fourth proportional to 303.88, 455.28 and 208.12 is: 311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.88 : 455.28 = 208.12 : x
  2. Step 2: Convert to fraction form
    303.88/455.28 = 208.12/x
  3. Step 3: Cross multiply
    303.88x = 455.28 × 208.12
  4. Step 4: Simplify right side
    303.88x = 94,752.87
  5. Step 5: Solve for x
    x = 94,752.87/303.88
  6. Step 6: Final answer
    x = 311.81

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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.