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Finding the Fourth Proportional to 286.57, 428.81 and 246.47

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Solution

The fourth proportional to 286.57, 428.81 and 246.47 is: 368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.57 : 428.81 = 246.47 : x
  2. Step 2: Convert to fraction form
    286.57/428.81 = 246.47/x
  3. Step 3: Cross multiply
    286.57x = 428.81 × 246.47
  4. Step 4: Simplify right side
    286.57x = 105,688.80
  5. Step 5: Solve for x
    x = 105,688.80/286.57
  6. Step 6: Final answer
    x = 368.81

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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.