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Finding the Fourth Proportional to 388.23, 583.41 and 205.75

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Solution

The fourth proportional to 388.23, 583.41 and 205.75 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.23 : 583.41 = 205.75 : x
  2. Step 2: Convert to fraction form
    388.23/583.41 = 205.75/x
  3. Step 3: Cross multiply
    388.23x = 583.41 × 205.75
  4. Step 4: Simplify right side
    388.23x = 120,036.61
  5. Step 5: Solve for x
    x = 120,036.61/388.23
  6. Step 6: Final answer
    x = 309.19

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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.