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Finding the Fourth Proportional to 386.74, 533.42 and 276.18

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Solution

The fourth proportional to 386.74, 533.42 and 276.18 is: 380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.74 : 533.42 = 276.18 : x
  2. Step 2: Convert to fraction form
    386.74/533.42 = 276.18/x
  3. Step 3: Cross multiply
    386.74x = 533.42 × 276.18
  4. Step 4: Simplify right side
    386.74x = 147,317.59
  5. Step 5: Solve for x
    x = 147,317.59/386.74
  6. Step 6: Final answer
    x = 380.92

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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.