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Finding the Fourth Proportional to 161.91, 242.45 and 148.55

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Solution

The fourth proportional to 161.91, 242.45 and 148.55 is: 222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.91 : 242.45 = 148.55 : x
  2. Step 2: Convert to fraction form
    161.91/242.45 = 148.55/x
  3. Step 3: Cross multiply
    161.91x = 242.45 × 148.55
  4. Step 4: Simplify right side
    161.91x = 36,014.60
  5. Step 5: Solve for x
    x = 36,014.60/161.91
  6. Step 6: Final answer
    x = 222.43

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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.