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Finding the Fourth Proportional to 357.40, 493.14 and 226.44

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Solution

The fourth proportional to 357.40, 493.14 and 226.44 is: 312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.40 : 493.14 = 226.44 : x
  2. Step 2: Convert to fraction form
    357.40/493.14 = 226.44/x
  3. Step 3: Cross multiply
    357.40x = 493.14 × 226.44
  4. Step 4: Simplify right side
    357.40x = 111,666.62
  5. Step 5: Solve for x
    x = 111,666.62/357.40
  6. Step 6: Final answer
    x = 312.44

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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.