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Finding the Fourth Proportional to 422.15, 632.80 and 162.08

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Solution

The fourth proportional to 422.15, 632.80 and 162.08 is: 242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.15 : 632.80 = 162.08 : x
  2. Step 2: Convert to fraction form
    422.15/632.80 = 162.08/x
  3. Step 3: Cross multiply
    422.15x = 632.80 × 162.08
  4. Step 4: Simplify right side
    422.15x = 102,565.40
  5. Step 5: Solve for x
    x = 102,565.40/422.15
  6. Step 6: Final answer
    x = 242.96

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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.