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Finding the Fourth Proportional to 224.32, 336 and 221.86

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Solution

The fourth proportional to 224.32, 336 and 221.86 is: 332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.32 : 336 = 221.86 : x
  2. Step 2: Convert to fraction form
    224.32/336 = 221.86/x
  3. Step 3: Cross multiply
    224.32x = 336 × 221.86
  4. Step 4: Simplify right side
    224.32x = 74,544.96
  5. Step 5: Solve for x
    x = 74,544.96/224.32
  6. Step 6: Final answer
    x = 332.32

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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.