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Finding the Fourth Proportional to 452.34, 678.72 and 298.20

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Solution

The fourth proportional to 452.34, 678.72 and 298.20 is: 447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.34 : 678.72 = 298.20 : x
  2. Step 2: Convert to fraction form
    452.34/678.72 = 298.20/x
  3. Step 3: Cross multiply
    452.34x = 678.72 × 298.20
  4. Step 4: Simplify right side
    452.34x = 202,394.30
  5. Step 5: Solve for x
    x = 202,394.30/452.34
  6. Step 6: Final answer
    x = 447.44

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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.