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Finding the Fourth Proportional to 356.41, 533.99 and 194.20

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Solution

The fourth proportional to 356.41, 533.99 and 194.20 is: 290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.41 : 533.99 = 194.20 : x
  2. Step 2: Convert to fraction form
    356.41/533.99 = 194.20/x
  3. Step 3: Cross multiply
    356.41x = 533.99 × 194.20
  4. Step 4: Simplify right side
    356.41x = 103,700.86
  5. Step 5: Solve for x
    x = 103,700.86/356.41
  6. Step 6: Final answer
    x = 290.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.