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Finding the Fourth Proportional to 453.02, 678.98 and 209.20

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Solution

The fourth proportional to 453.02, 678.98 and 209.20 is: 313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.02 : 678.98 = 209.20 : x
  2. Step 2: Convert to fraction form
    453.02/678.98 = 209.20/x
  3. Step 3: Cross multiply
    453.02x = 678.98 × 209.20
  4. Step 4: Simplify right side
    453.02x = 142,042.62
  5. Step 5: Solve for x
    x = 142,042.62/453.02
  6. Step 6: Final answer
    x = 313.55

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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.