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Finding the Fourth Proportional to 336.61, 464.29 and 301.98

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Solution

The fourth proportional to 336.61, 464.29 and 301.98 is: 416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.61 : 464.29 = 301.98 : x
  2. Step 2: Convert to fraction form
    336.61/464.29 = 301.98/x
  3. Step 3: Cross multiply
    336.61x = 464.29 × 301.98
  4. Step 4: Simplify right side
    336.61x = 140,205.54
  5. Step 5: Solve for x
    x = 140,205.54/336.61
  6. Step 6: Final answer
    x = 416.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.