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Finding the Fourth Proportional to 305.70, 458.14 and 273.16

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Solution

The fourth proportional to 305.70, 458.14 and 273.16 is: 409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.70 : 458.14 = 273.16 : x
  2. Step 2: Convert to fraction form
    305.70/458.14 = 273.16/x
  3. Step 3: Cross multiply
    305.70x = 458.14 × 273.16
  4. Step 4: Simplify right side
    305.70x = 125,145.52
  5. Step 5: Solve for x
    x = 125,145.52/305.70
  6. Step 6: Final answer
    x = 409.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.