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Finding the Fourth Proportional to 547.64, 821.52 and 222.96

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Solution

The fourth proportional to 547.64, 821.52 and 222.96 is: 334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.64 : 821.52 = 222.96 : x
  2. Step 2: Convert to fraction form
    547.64/821.52 = 222.96/x
  3. Step 3: Cross multiply
    547.64x = 821.52 × 222.96
  4. Step 4: Simplify right side
    547.64x = 183,166.10
  5. Step 5: Solve for x
    x = 183,166.10/547.64
  6. Step 6: Final answer
    x = 334.46

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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.