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Finding the Fourth Proportional to 286.99, 427.25 and 285.64

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Solution

The fourth proportional to 286.99, 427.25 and 285.64 is: 425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.99 : 427.25 = 285.64 : x
  2. Step 2: Convert to fraction form
    286.99/427.25 = 285.64/x
  3. Step 3: Cross multiply
    286.99x = 427.25 × 285.64
  4. Step 4: Simplify right side
    286.99x = 122,039.69
  5. Step 5: Solve for x
    x = 122,039.69/286.99
  6. Step 6: Final answer
    x = 425.24

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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.