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Finding the Fourth Proportional to 336.96, 465.12 and 305.76

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Solution

The fourth proportional to 336.96, 465.12 and 305.76 is: 422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.96 : 465.12 = 305.76 : x
  2. Step 2: Convert to fraction form
    336.96/465.12 = 305.76/x
  3. Step 3: Cross multiply
    336.96x = 465.12 × 305.76
  4. Step 4: Simplify right side
    336.96x = 142,215.09
  5. Step 5: Solve for x
    x = 142,215.09/336.96
  6. Step 6: Final answer
    x = 422.05

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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.