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Finding the Fourth Proportional to 287.36, 427.66 and 286.46

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Solution

The fourth proportional to 287.36, 427.66 and 286.46 is: 426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.36 : 427.66 = 286.46 : x
  2. Step 2: Convert to fraction form
    287.36/427.66 = 286.46/x
  3. Step 3: Cross multiply
    287.36x = 427.66 × 286.46
  4. Step 4: Simplify right side
    287.36x = 122,507.48
  5. Step 5: Solve for x
    x = 122,507.48/287.36
  6. Step 6: Final answer
    x = 426.32

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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.