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Finding the Fourth Proportional to 422.08, 631.95 and 276.01

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Solution

The fourth proportional to 422.08, 631.95 and 276.01 is: 413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.08 : 631.95 = 276.01 : x
  2. Step 2: Convert to fraction form
    422.08/631.95 = 276.01/x
  3. Step 3: Cross multiply
    422.08x = 631.95 × 276.01
  4. Step 4: Simplify right side
    422.08x = 174,424.52
  5. Step 5: Solve for x
    x = 174,424.52/422.08
  6. Step 6: Final answer
    x = 413.25

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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.