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Finding the Fourth Proportional to 221.40, 332.15 and 130.05

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Solution

The fourth proportional to 221.40, 332.15 and 130.05 is: 195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.40 : 332.15 = 130.05 : x
  2. Step 2: Convert to fraction form
    221.40/332.15 = 130.05/x
  3. Step 3: Cross multiply
    221.40x = 332.15 × 130.05
  4. Step 4: Simplify right side
    221.40x = 43,195.46
  5. Step 5: Solve for x
    x = 43,195.46/221.40
  6. Step 6: Final answer
    x = 195.10

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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.