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Finding the Fourth Proportional to 286.60, 428.74 and 248.52

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Solution

The fourth proportional to 286.60, 428.74 and 248.52 is: 371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.60 : 428.74 = 248.52 : x
  2. Step 2: Convert to fraction form
    286.60/428.74 = 248.52/x
  3. Step 3: Cross multiply
    286.60x = 428.74 × 248.52
  4. Step 4: Simplify right side
    286.60x = 106,550.46
  5. Step 5: Solve for x
    x = 106,550.46/286.60
  6. Step 6: Final answer
    x = 371.77

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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.