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Finding the Fourth Proportional to 452.01, 678.12 and 163.45

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Solution

The fourth proportional to 452.01, 678.12 and 163.45 is: 245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.01 : 678.12 = 163.45 : x
  2. Step 2: Convert to fraction form
    452.01/678.12 = 163.45/x
  3. Step 3: Cross multiply
    452.01x = 678.12 × 163.45
  4. Step 4: Simplify right side
    452.01x = 110,834.51
  5. Step 5: Solve for x
    x = 110,834.51/452.01
  6. Step 6: Final answer
    x = 245.21

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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.