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Finding the Fourth Proportional to 492.16, 678 and 336.64

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Solution

The fourth proportional to 492.16, 678 and 336.64 is: 463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.16 : 678 = 336.64 : x
  2. Step 2: Convert to fraction form
    492.16/678 = 336.64/x
  3. Step 3: Cross multiply
    492.16x = 678 × 336.64
  4. Step 4: Simplify right side
    492.16x = 228,241.92
  5. Step 5: Solve for x
    x = 228,241.92/492.16
  6. Step 6: Final answer
    x = 463.76

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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.