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Finding the Fourth Proportional to 235.22, 323.95 and 189.46

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Solution

The fourth proportional to 235.22, 323.95 and 189.46 is: 260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.22 : 323.95 = 189.46 : x
  2. Step 2: Convert to fraction form
    235.22/323.95 = 189.46/x
  3. Step 3: Cross multiply
    235.22x = 323.95 × 189.46
  4. Step 4: Simplify right side
    235.22x = 61,373.00
  5. Step 5: Solve for x
    x = 61,373.00/235.22
  6. Step 6: Final answer
    x = 260.92

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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.