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Finding the Fourth Proportional to 483.37, 666.83 and 286.77

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Solution

The fourth proportional to 483.37, 666.83 and 286.77 is: 395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.37 : 666.83 = 286.77 : x
  2. Step 2: Convert to fraction form
    483.37/666.83 = 286.77/x
  3. Step 3: Cross multiply
    483.37x = 666.83 × 286.77
  4. Step 4: Simplify right side
    483.37x = 191,226.84
  5. Step 5: Solve for x
    x = 191,226.84/483.37
  6. Step 6: Final answer
    x = 395.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.