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Finding the Fourth Proportional to 273.48, 412.04 and 247.82

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Solution

The fourth proportional to 273.48, 412.04 and 247.82 is: 373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.48 : 412.04 = 247.82 : x
  2. Step 2: Convert to fraction form
    273.48/412.04 = 247.82/x
  3. Step 3: Cross multiply
    273.48x = 412.04 × 247.82
  4. Step 4: Simplify right side
    273.48x = 102,111.75
  5. Step 5: Solve for x
    x = 102,111.75/273.48
  6. Step 6: Final answer
    x = 373.38

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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.