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Finding the Fourth Proportional to 221.46, 332.08 and 128.94

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Solution

The fourth proportional to 221.46, 332.08 and 128.94 is: 193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.46 : 332.08 = 128.94 : x
  2. Step 2: Convert to fraction form
    221.46/332.08 = 128.94/x
  3. Step 3: Cross multiply
    221.46x = 332.08 × 128.94
  4. Step 4: Simplify right side
    221.46x = 42,818.02
  5. Step 5: Solve for x
    x = 42,818.02/221.46
  6. Step 6: Final answer
    x = 193.35

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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.