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Finding the Fourth Proportional to 213.09, 318.96 and 147.90

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Solution

The fourth proportional to 213.09, 318.96 and 147.90 is: 221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.09 : 318.96 = 147.90 : x
  2. Step 2: Convert to fraction form
    213.09/318.96 = 147.90/x
  3. Step 3: Cross multiply
    213.09x = 318.96 × 147.90
  4. Step 4: Simplify right side
    213.09x = 47,174.18
  5. Step 5: Solve for x
    x = 47,174.18/213.09
  6. Step 6: Final answer
    x = 221.38

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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.