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Finding the Fourth Proportional to 286.84, 427.50 and 286.39

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Solution

The fourth proportional to 286.84, 427.50 and 286.39 is: 426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.84 : 427.50 = 286.39 : x
  2. Step 2: Convert to fraction form
    286.84/427.50 = 286.39/x
  3. Step 3: Cross multiply
    286.84x = 427.50 × 286.39
  4. Step 4: Simplify right side
    286.84x = 122,430.66
  5. Step 5: Solve for x
    x = 122,430.66/286.84
  6. Step 6: Final answer
    x = 426.82

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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.