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Finding the Fourth Proportional to 451.98, 678.24 and 178.34

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Solution

The fourth proportional to 451.98, 678.24 and 178.34 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.98 : 678.24 = 178.34 : x
  2. Step 2: Convert to fraction form
    451.98/678.24 = 178.34/x
  3. Step 3: Cross multiply
    451.98x = 678.24 × 178.34
  4. Step 4: Simplify right side
    451.98x = 120,953.93
  5. Step 5: Solve for x
    x = 120,953.93/451.98
  6. Step 6: Final answer
    x = 267.61

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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.