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Finding the Fourth Proportional to 386.93, 534.36 and 298.73

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Solution

The fourth proportional to 386.93, 534.36 and 298.73 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.93 : 534.36 = 298.73 : x
  2. Step 2: Convert to fraction form
    386.93/534.36 = 298.73/x
  3. Step 3: Cross multiply
    386.93x = 534.36 × 298.73
  4. Step 4: Simplify right side
    386.93x = 159,626.69
  5. Step 5: Solve for x
    x = 159,626.69/386.93
  6. Step 6: Final answer
    x = 412.55

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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.