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Finding the Fourth Proportional to 388.96, 582.72 and 280.48

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Solution

The fourth proportional to 388.96, 582.72 and 280.48 is: 420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.96 : 582.72 = 280.48 : x
  2. Step 2: Convert to fraction form
    388.96/582.72 = 280.48/x
  3. Step 3: Cross multiply
    388.96x = 582.72 × 280.48
  4. Step 4: Simplify right side
    388.96x = 163,441.31
  5. Step 5: Solve for x
    x = 163,441.31/388.96
  6. Step 6: Final answer
    x = 420.20

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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.