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Finding the Fourth Proportional to 452.67, 678.84 and 247.20

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Solution

The fourth proportional to 452.67, 678.84 and 247.20 is: 370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.67 : 678.84 = 247.20 : x
  2. Step 2: Convert to fraction form
    452.67/678.84 = 247.20/x
  3. Step 3: Cross multiply
    452.67x = 678.84 × 247.20
  4. Step 4: Simplify right side
    452.67x = 167,809.25
  5. Step 5: Solve for x
    x = 167,809.25/452.67
  6. Step 6: Final answer
    x = 370.71

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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.