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Finding the Fourth Proportional to 273.93, 407.61 and 273.02

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Solution

The fourth proportional to 273.93, 407.61 and 273.02 is: 406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.93 : 407.61 = 273.02 : x
  2. Step 2: Convert to fraction form
    273.93/407.61 = 273.02/x
  3. Step 3: Cross multiply
    273.93x = 407.61 × 273.02
  4. Step 4: Simplify right side
    273.93x = 111,285.17
  5. Step 5: Solve for x
    x = 111,285.17/273.93
  6. Step 6: Final answer
    x = 406.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.