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Finding the Fourth Proportional to 632.68, 873.16 and 367.22

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Solution

The fourth proportional to 632.68, 873.16 and 367.22 is: 506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.68 : 873.16 = 367.22 : x
  2. Step 2: Convert to fraction form
    632.68/873.16 = 367.22/x
  3. Step 3: Cross multiply
    632.68x = 873.16 × 367.22
  4. Step 4: Simplify right side
    632.68x = 320,643.08
  5. Step 5: Solve for x
    x = 320,643.08/632.68
  6. Step 6: Final answer
    x = 506.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.