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Finding the Fourth Proportional to 282.15, 420.82 and 272.36

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Solution

The fourth proportional to 282.15, 420.82 and 272.36 is: 406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.15 : 420.82 = 272.36 : x
  2. Step 2: Convert to fraction form
    282.15/420.82 = 272.36/x
  3. Step 3: Cross multiply
    282.15x = 420.82 × 272.36
  4. Step 4: Simplify right side
    282.15x = 114,611.75
  5. Step 5: Solve for x
    x = 114,611.75/282.15
  6. Step 6: Final answer
    x = 406.21

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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.