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Finding the Fourth Proportional to 404.37, 558.05 and 286.56

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Solution

The fourth proportional to 404.37, 558.05 and 286.56 is: 395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.37 : 558.05 = 286.56 : x
  2. Step 2: Convert to fraction form
    404.37/558.05 = 286.56/x
  3. Step 3: Cross multiply
    404.37x = 558.05 × 286.56
  4. Step 4: Simplify right side
    404.37x = 159,914.81
  5. Step 5: Solve for x
    x = 159,914.81/404.37
  6. Step 6: Final answer
    x = 395.47

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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.