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Finding the Fourth Proportional to 286.21, 427.01 and 260.23

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Solution

The fourth proportional to 286.21, 427.01 and 260.23 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.21 : 427.01 = 260.23 : x
  2. Step 2: Convert to fraction form
    286.21/427.01 = 260.23/x
  3. Step 3: Cross multiply
    286.21x = 427.01 × 260.23
  4. Step 4: Simplify right side
    286.21x = 111,120.81
  5. Step 5: Solve for x
    x = 111,120.81/286.21
  6. Step 6: Final answer
    x = 388.25

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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.