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Finding the Fourth Proportional to 388.26, 581.81 and 285.39

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Solution

The fourth proportional to 388.26, 581.81 and 285.39 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.26 : 581.81 = 285.39 : x
  2. Step 2: Convert to fraction form
    388.26/581.81 = 285.39/x
  3. Step 3: Cross multiply
    388.26x = 581.81 × 285.39
  4. Step 4: Simplify right side
    388.26x = 166,041.33
  5. Step 5: Solve for x
    x = 166,041.33/388.26
  6. Step 6: Final answer
    x = 427.65

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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.