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Finding the Fourth Proportional to 398.88, 598.32 and 228

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Solution

The fourth proportional to 398.88, 598.32 and 228 is: 342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.88 : 598.32 = 228 : x
  2. Step 2: Convert to fraction form
    398.88/598.32 = 228/x
  3. Step 3: Cross multiply
    398.88x = 598.32 × 228
  4. Step 4: Simplify right side
    398.88x = 136,416.96
  5. Step 5: Solve for x
    x = 136,416.96/398.88
  6. Step 6: Final answer
    x = 342.00

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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.