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Finding the Fourth Proportional to 388.88, 583.20 and 258.80

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Solution

The fourth proportional to 388.88, 583.20 and 258.80 is: 388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.88 : 583.20 = 258.80 : x
  2. Step 2: Convert to fraction form
    388.88/583.20 = 258.80/x
  3. Step 3: Cross multiply
    388.88x = 583.20 × 258.80
  4. Step 4: Simplify right side
    388.88x = 150,929.24
  5. Step 5: Solve for x
    x = 150,929.24/388.88
  6. Step 6: Final answer
    x = 388.12

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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.