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Finding the Fourth Proportional to 452.46, 678.78 and 208.83

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Solution

The fourth proportional to 452.46, 678.78 and 208.83 is: 313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.46 : 678.78 = 208.83 : x
  2. Step 2: Convert to fraction form
    452.46/678.78 = 208.83/x
  3. Step 3: Cross multiply
    452.46x = 678.78 × 208.83
  4. Step 4: Simplify right side
    452.46x = 141,749.63
  5. Step 5: Solve for x
    x = 141,749.63/452.46
  6. Step 6: Final answer
    x = 313.29

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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.