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Finding the Fourth Proportional to 492.33, 678.83 and 295.77

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Solution

The fourth proportional to 492.33, 678.83 and 295.77 is: 407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.33 : 678.83 = 295.77 : x
  2. Step 2: Convert to fraction form
    492.33/678.83 = 295.77/x
  3. Step 3: Cross multiply
    492.33x = 678.83 × 295.77
  4. Step 4: Simplify right side
    492.33x = 200,774.15
  5. Step 5: Solve for x
    x = 200,774.15/492.33
  6. Step 6: Final answer
    x = 407.81

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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.