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Finding the Fourth Proportional to 492.13, 678.94 and 305.83

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Solution

The fourth proportional to 492.13, 678.94 and 305.83 is: 421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.13 : 678.94 = 305.83 : x
  2. Step 2: Convert to fraction form
    492.13/678.94 = 305.83/x
  3. Step 3: Cross multiply
    492.13x = 678.94 × 305.83
  4. Step 4: Simplify right side
    492.13x = 207,640.22
  5. Step 5: Solve for x
    x = 207,640.22/492.13
  6. Step 6: Final answer
    x = 421.92

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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.