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Finding the Fourth Proportional to 336.32, 464 and 305.12

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Solution

The fourth proportional to 336.32, 464 and 305.12 is: 420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.32 : 464 = 305.12 : x
  2. Step 2: Convert to fraction form
    336.32/464 = 305.12/x
  3. Step 3: Cross multiply
    336.32x = 464 × 305.12
  4. Step 4: Simplify right side
    336.32x = 141,575.68
  5. Step 5: Solve for x
    x = 141,575.68/336.32
  6. Step 6: Final answer
    x = 420.96

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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.