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Finding the Fourth Proportional to 354.42, 492.47 and 350.62

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Solution

The fourth proportional to 354.42, 492.47 and 350.62 is: 487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.42 : 492.47 = 350.62 : x
  2. Step 2: Convert to fraction form
    354.42/492.47 = 350.62/x
  3. Step 3: Cross multiply
    354.42x = 492.47 × 350.62
  4. Step 4: Simplify right side
    354.42x = 172,667.37
  5. Step 5: Solve for x
    x = 172,667.37/354.42
  6. Step 6: Final answer
    x = 487.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.