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Finding the Fourth Proportional to 422.58, 633.46 and 148.48

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Solution

The fourth proportional to 422.58, 633.46 and 148.48 is: 222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.58 : 633.46 = 148.48 : x
  2. Step 2: Convert to fraction form
    422.58/633.46 = 148.48/x
  3. Step 3: Cross multiply
    422.58x = 633.46 × 148.48
  4. Step 4: Simplify right side
    422.58x = 94,056.14
  5. Step 5: Solve for x
    x = 94,056.14/422.58
  6. Step 6: Final answer
    x = 222.58

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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.