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Finding the Fourth Proportional to 282.14, 420.26 and 272.10

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Solution

The fourth proportional to 282.14, 420.26 and 272.10 is: 405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.14 : 420.26 = 272.10 : x
  2. Step 2: Convert to fraction form
    282.14/420.26 = 272.10/x
  3. Step 3: Cross multiply
    282.14x = 420.26 × 272.10
  4. Step 4: Simplify right side
    282.14x = 114,351.39
  5. Step 5: Solve for x
    x = 114,351.39/282.14
  6. Step 6: Final answer
    x = 405.31

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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.