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Finding the Fourth Proportional to 317.24, 437.74 and 273.48

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Solution

The fourth proportional to 317.24, 437.74 and 273.48 is: 377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.24 : 437.74 = 273.48 : x
  2. Step 2: Convert to fraction form
    317.24/437.74 = 273.48/x
  3. Step 3: Cross multiply
    317.24x = 437.74 × 273.48
  4. Step 4: Simplify right side
    317.24x = 119,713.14
  5. Step 5: Solve for x
    x = 119,713.14/317.24
  6. Step 6: Final answer
    x = 377.36

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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.