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Finding the Fourth Proportional to 319.24, 476.18 and 273.27

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Solution

The fourth proportional to 319.24, 476.18 and 273.27 is: 407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 476.18 = 273.27 : x
  2. Step 2: Convert to fraction form
    319.24/476.18 = 273.27/x
  3. Step 3: Cross multiply
    319.24x = 476.18 × 273.27
  4. Step 4: Simplify right side
    319.24x = 130,127.15
  5. Step 5: Solve for x
    x = 130,127.15/319.24
  6. Step 6: Final answer
    x = 407.61

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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.