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Finding the Fourth Proportional to 284.86, 427.83 and 248.41

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Solution

The fourth proportional to 284.86, 427.83 and 248.41 is: 373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.86 : 427.83 = 248.41 : x
  2. Step 2: Convert to fraction form
    284.86/427.83 = 248.41/x
  3. Step 3: Cross multiply
    284.86x = 427.83 × 248.41
  4. Step 4: Simplify right side
    284.86x = 106,277.25
  5. Step 5: Solve for x
    x = 106,277.25/284.86
  6. Step 6: Final answer
    x = 373.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.