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Finding the Fourth Proportional to 319.67, 477.18 and 273.18

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Solution

The fourth proportional to 319.67, 477.18 and 273.18 is: 407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.67 : 477.18 = 273.18 : x
  2. Step 2: Convert to fraction form
    319.67/477.18 = 273.18/x
  3. Step 3: Cross multiply
    319.67x = 477.18 × 273.18
  4. Step 4: Simplify right side
    319.67x = 130,356.03
  5. Step 5: Solve for x
    x = 130,356.03/319.67
  6. Step 6: Final answer
    x = 407.79

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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.