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Finding the Fourth Proportional to 282.12, 384.36 and 276.18

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Solution

The fourth proportional to 282.12, 384.36 and 276.18 is: 376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.12 : 384.36 = 276.18 : x
  2. Step 2: Convert to fraction form
    282.12/384.36 = 276.18/x
  3. Step 3: Cross multiply
    282.12x = 384.36 × 276.18
  4. Step 4: Simplify right side
    282.12x = 106,152.54
  5. Step 5: Solve for x
    x = 106,152.54/282.12
  6. Step 6: Final answer
    x = 376.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.