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Finding the Fourth Proportional to 305.60, 420.77 and 273.65

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Solution

The fourth proportional to 305.60, 420.77 and 273.65 is: 376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.60 : 420.77 = 273.65 : x
  2. Step 2: Convert to fraction form
    305.60/420.77 = 273.65/x
  3. Step 3: Cross multiply
    305.60x = 420.77 × 273.65
  4. Step 4: Simplify right side
    305.60x = 115,143.71
  5. Step 5: Solve for x
    x = 115,143.71/305.60
  6. Step 6: Final answer
    x = 376.78

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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.