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Finding the Fourth Proportional to 357, 492.69 and 226.11

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Solution

The fourth proportional to 357, 492.69 and 226.11 is: 312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357 : 492.69 = 226.11 : x
  2. Step 2: Convert to fraction form
    357/492.69 = 226.11/x
  3. Step 3: Cross multiply
    357x = 492.69 × 226.11
  4. Step 4: Simplify right side
    357x = 111,402.14
  5. Step 5: Solve for x
    x = 111,402.14/357
  6. Step 6: Final answer
    x = 312.05

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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.