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Finding the Fourth Proportional to 388.76, 583.25 and 206.31

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Solution

The fourth proportional to 388.76, 583.25 and 206.31 is: 309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.76 : 583.25 = 206.31 : x
  2. Step 2: Convert to fraction form
    388.76/583.25 = 206.31/x
  3. Step 3: Cross multiply
    388.76x = 583.25 × 206.31
  4. Step 4: Simplify right side
    388.76x = 120,330.31
  5. Step 5: Solve for x
    x = 120,330.31/388.76
  6. Step 6: Final answer
    x = 309.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.