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Finding the Fourth Proportional to 452.23, 678.38 and 174.49

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Solution

The fourth proportional to 452.23, 678.38 and 174.49 is: 261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.23 : 678.38 = 174.49 : x
  2. Step 2: Convert to fraction form
    452.23/678.38 = 174.49/x
  3. Step 3: Cross multiply
    452.23x = 678.38 × 174.49
  4. Step 4: Simplify right side
    452.23x = 118,370.53
  5. Step 5: Solve for x
    x = 118,370.53/452.23
  6. Step 6: Final answer
    x = 261.75

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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.