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Finding the Fourth Proportional to 492.08, 678.82 and 305.60

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Solution

The fourth proportional to 492.08, 678.82 and 305.60 is: 421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.08 : 678.82 = 305.60 : x
  2. Step 2: Convert to fraction form
    492.08/678.82 = 305.60/x
  3. Step 3: Cross multiply
    492.08x = 678.82 × 305.60
  4. Step 4: Simplify right side
    492.08x = 207,447.39
  5. Step 5: Solve for x
    x = 207,447.39/492.08
  6. Step 6: Final answer
    x = 421.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.