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Finding the Fourth Proportional to 305.48, 455.16 and 273.14

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Solution

The fourth proportional to 305.48, 455.16 and 273.14 is: 406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.48 : 455.16 = 273.14 : x
  2. Step 2: Convert to fraction form
    305.48/455.16 = 273.14/x
  3. Step 3: Cross multiply
    305.48x = 455.16 × 273.14
  4. Step 4: Simplify right side
    305.48x = 124,322.40
  5. Step 5: Solve for x
    x = 124,322.40/305.48
  6. Step 6: Final answer
    x = 406.97

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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.