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Finding the Fourth Proportional to 221.64, 332.21 and 148.53

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Solution

The fourth proportional to 221.64, 332.21 and 148.53 is: 222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.64 : 332.21 = 148.53 : x
  2. Step 2: Convert to fraction form
    221.64/332.21 = 148.53/x
  3. Step 3: Cross multiply
    221.64x = 332.21 × 148.53
  4. Step 4: Simplify right side
    221.64x = 49,342.41
  5. Step 5: Solve for x
    x = 49,342.41/221.64
  6. Step 6: Final answer
    x = 222.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.