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Finding the Fourth Proportional to 273.53, 412.38 and 270.47

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Solution

The fourth proportional to 273.53, 412.38 and 270.47 is: 407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.53 : 412.38 = 270.47 : x
  2. Step 2: Convert to fraction form
    273.53/412.38 = 270.47/x
  3. Step 3: Cross multiply
    273.53x = 412.38 × 270.47
  4. Step 4: Simplify right side
    273.53x = 111,534.36
  5. Step 5: Solve for x
    x = 111,534.36/273.53
  6. Step 6: Final answer
    x = 407.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.