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Finding the Fourth Proportional to 452.31, 678.46 and 178.42

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Solution

The fourth proportional to 452.31, 678.46 and 178.42 is: 267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.31 : 678.46 = 178.42 : x
  2. Step 2: Convert to fraction form
    452.31/678.46 = 178.42/x
  3. Step 3: Cross multiply
    452.31x = 678.46 × 178.42
  4. Step 4: Simplify right side
    452.31x = 121,050.83
  5. Step 5: Solve for x
    x = 121,050.83/452.31
  6. Step 6: Final answer
    x = 267.63

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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.