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Finding the Fourth Proportional to 403.83, 557.42 and 273.02

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Solution

The fourth proportional to 403.83, 557.42 and 273.02 is: 376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.83 : 557.42 = 273.02 : x
  2. Step 2: Convert to fraction form
    403.83/557.42 = 273.02/x
  3. Step 3: Cross multiply
    403.83x = 557.42 × 273.02
  4. Step 4: Simplify right side
    403.83x = 152,182.66
  5. Step 5: Solve for x
    x = 152,182.66/403.83
  6. Step 6: Final answer
    x = 376.85

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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.