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Finding the Fourth Proportional to 333.44, 460.17 and 186.10

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Solution

The fourth proportional to 333.44, 460.17 and 186.10 is: 256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.44 : 460.17 = 186.10 : x
  2. Step 2: Convert to fraction form
    333.44/460.17 = 186.10/x
  3. Step 3: Cross multiply
    333.44x = 460.17 × 186.10
  4. Step 4: Simplify right side
    333.44x = 85,636.49
  5. Step 5: Solve for x
    x = 85,636.49/333.44
  6. Step 6: Final answer
    x = 256.83

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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.