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Finding the Fourth Proportional to 422.03, 632.84 and 148.08

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Solution

The fourth proportional to 422.03, 632.84 and 148.08 is: 222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.03 : 632.84 = 148.08 : x
  2. Step 2: Convert to fraction form
    422.03/632.84 = 148.08/x
  3. Step 3: Cross multiply
    422.03x = 632.84 × 148.08
  4. Step 4: Simplify right side
    422.03x = 93,710.95
  5. Step 5: Solve for x
    x = 93,710.95/422.03
  6. Step 6: Final answer
    x = 222.05

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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.