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Finding the Fourth Proportional to 452.58, 678.52 and 163.81

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Solution

The fourth proportional to 452.58, 678.52 and 163.81 is: 245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.58 : 678.52 = 163.81 : x
  2. Step 2: Convert to fraction form
    452.58/678.52 = 163.81/x
  3. Step 3: Cross multiply
    452.58x = 678.52 × 163.81
  4. Step 4: Simplify right side
    452.58x = 111,148.36
  5. Step 5: Solve for x
    x = 111,148.36/452.58
  6. Step 6: Final answer
    x = 245.59

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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.