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Finding the Fourth Proportional to 350.61, 483.74 and 226.31

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Solution

The fourth proportional to 350.61, 483.74 and 226.31 is: 312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.61 : 483.74 = 226.31 : x
  2. Step 2: Convert to fraction form
    350.61/483.74 = 226.31/x
  3. Step 3: Cross multiply
    350.61x = 483.74 × 226.31
  4. Step 4: Simplify right side
    350.61x = 109,475.20
  5. Step 5: Solve for x
    x = 109,475.20/350.61
  6. Step 6: Final answer
    x = 312.24

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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.