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Finding the Fourth Proportional to 451.86, 678.10 and 178.18

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Solution

The fourth proportional to 451.86, 678.10 and 178.18 is: 267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.86 : 678.10 = 178.18 : x
  2. Step 2: Convert to fraction form
    451.86/678.10 = 178.18/x
  3. Step 3: Cross multiply
    451.86x = 678.10 × 178.18
  4. Step 4: Simplify right side
    451.86x = 120,823.86
  5. Step 5: Solve for x
    x = 120,823.86/451.86
  6. Step 6: Final answer
    x = 267.39

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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.