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Finding the Fourth Proportional to 336.96, 504.64 and 192.64

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Solution

The fourth proportional to 336.96, 504.64 and 192.64 is: 288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.96 : 504.64 = 192.64 : x
  2. Step 2: Convert to fraction form
    336.96/504.64 = 192.64/x
  3. Step 3: Cross multiply
    336.96x = 504.64 × 192.64
  4. Step 4: Simplify right side
    336.96x = 97,213.85
  5. Step 5: Solve for x
    x = 97,213.85/336.96
  6. Step 6: Final answer
    x = 288.50

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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.