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Finding the Fourth Proportional to 235.26, 322.91 and 225.23

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Solution

The fourth proportional to 235.26, 322.91 and 225.23 is: 309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.26 : 322.91 = 225.23 : x
  2. Step 2: Convert to fraction form
    235.26/322.91 = 225.23/x
  3. Step 3: Cross multiply
    235.26x = 322.91 × 225.23
  4. Step 4: Simplify right side
    235.26x = 72,730.39
  5. Step 5: Solve for x
    x = 72,730.39/235.26
  6. Step 6: Final answer
    x = 309.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.