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Finding the Fourth Proportional to 356.32, 493.87 and 350.20

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Solution

The fourth proportional to 356.32, 493.87 and 350.20 is: 485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.32 : 493.87 = 350.20 : x
  2. Step 2: Convert to fraction form
    356.32/493.87 = 350.20/x
  3. Step 3: Cross multiply
    356.32x = 493.87 × 350.20
  4. Step 4: Simplify right side
    356.32x = 172,953.27
  5. Step 5: Solve for x
    x = 172,953.27/356.32
  6. Step 6: Final answer
    x = 485.39

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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.