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Finding the Fourth Proportional to 388.54, 581.44 and 285.58

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Solution

The fourth proportional to 388.54, 581.44 and 285.58 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.54 : 581.44 = 285.58 : x
  2. Step 2: Convert to fraction form
    388.54/581.44 = 285.58/x
  3. Step 3: Cross multiply
    388.54x = 581.44 × 285.58
  4. Step 4: Simplify right side
    388.54x = 166,047.64
  5. Step 5: Solve for x
    x = 166,047.64/388.54
  6. Step 6: Final answer
    x = 427.36

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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.