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Finding the Fourth Proportional to 311.02, 465.96 and 148.48

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Solution

The fourth proportional to 311.02, 465.96 and 148.48 is: 222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.02 : 465.96 = 148.48 : x
  2. Step 2: Convert to fraction form
    311.02/465.96 = 148.48/x
  3. Step 3: Cross multiply
    311.02x = 465.96 × 148.48
  4. Step 4: Simplify right side
    311.02x = 69,185.74
  5. Step 5: Solve for x
    x = 69,185.74/311.02
  6. Step 6: Final answer
    x = 222.45

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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.