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Finding the Fourth Proportional to 350.34, 483.63 and 257.09

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Solution

The fourth proportional to 350.34, 483.63 and 257.09 is: 354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.34 : 483.63 = 257.09 : x
  2. Step 2: Convert to fraction form
    350.34/483.63 = 257.09/x
  3. Step 3: Cross multiply
    350.34x = 483.63 × 257.09
  4. Step 4: Simplify right side
    350.34x = 124,336.44
  5. Step 5: Solve for x
    x = 124,336.44/350.34
  6. Step 6: Final answer
    x = 354.90

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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.