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Finding the Fourth Proportional to 273.60, 408.16 and 259.20

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Solution

The fourth proportional to 273.60, 408.16 and 259.20 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.60 : 408.16 = 259.20 : x
  2. Step 2: Convert to fraction form
    273.60/408.16 = 259.20/x
  3. Step 3: Cross multiply
    273.60x = 408.16 × 259.20
  4. Step 4: Simplify right side
    273.60x = 105,795.07
  5. Step 5: Solve for x
    x = 105,795.07/273.60
  6. Step 6: Final answer
    x = 386.68

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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.