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Finding the Fourth Proportional to 312.30, 468.07 and 221.03

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Solution

The fourth proportional to 312.30, 468.07 and 221.03 is: 331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.30 : 468.07 = 221.03 : x
  2. Step 2: Convert to fraction form
    312.30/468.07 = 221.03/x
  3. Step 3: Cross multiply
    312.30x = 468.07 × 221.03
  4. Step 4: Simplify right side
    312.30x = 103,455.17
  5. Step 5: Solve for x
    x = 103,455.17/312.30
  6. Step 6: Final answer
    x = 331.27

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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.