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Finding the Fourth Proportional to 303.17, 453.54 and 206.78

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Solution

The fourth proportional to 303.17, 453.54 and 206.78 is: 309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.17 : 453.54 = 206.78 : x
  2. Step 2: Convert to fraction form
    303.17/453.54 = 206.78/x
  3. Step 3: Cross multiply
    303.17x = 453.54 × 206.78
  4. Step 4: Simplify right side
    303.17x = 93,783.00
  5. Step 5: Solve for x
    x = 93,783.00/303.17
  6. Step 6: Final answer
    x = 309.34

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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.