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Finding the Fourth Proportional to 356.30, 491.41 and 273.20

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Solution

The fourth proportional to 356.30, 491.41 and 273.20 is: 376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.30 : 491.41 = 273.20 : x
  2. Step 2: Convert to fraction form
    356.30/491.41 = 273.20/x
  3. Step 3: Cross multiply
    356.30x = 491.41 × 273.20
  4. Step 4: Simplify right side
    356.30x = 134,253.21
  5. Step 5: Solve for x
    x = 134,253.21/356.30
  6. Step 6: Final answer
    x = 376.80

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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.