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Finding the Fourth Proportional to 452.19, 678.29 and 163.63

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Solution

The fourth proportional to 452.19, 678.29 and 163.63 is: 245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.19 : 678.29 = 163.63 : x
  2. Step 2: Convert to fraction form
    452.19/678.29 = 163.63/x
  3. Step 3: Cross multiply
    452.19x = 678.29 × 163.63
  4. Step 4: Simplify right side
    452.19x = 110,987.77
  5. Step 5: Solve for x
    x = 110,987.77/452.19
  6. Step 6: Final answer
    x = 245.45

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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.