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Finding the Fourth Proportional to 213.60, 320.04 and 149.34

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Solution

The fourth proportional to 213.60, 320.04 and 149.34 is: 223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.60 : 320.04 = 149.34 : x
  2. Step 2: Convert to fraction form
    213.60/320.04 = 149.34/x
  3. Step 3: Cross multiply
    213.60x = 320.04 × 149.34
  4. Step 4: Simplify right side
    213.60x = 47,794.77
  5. Step 5: Solve for x
    x = 47,794.77/213.60
  6. Step 6: Final answer
    x = 223.76

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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.