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Finding the Fourth Proportional to 235.80, 325.32 and 189.30

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Solution

The fourth proportional to 235.80, 325.32 and 189.30 is: 261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 325.32 = 189.30 : x
  2. Step 2: Convert to fraction form
    235.80/325.32 = 189.30/x
  3. Step 3: Cross multiply
    235.80x = 325.32 × 189.30
  4. Step 4: Simplify right side
    235.80x = 61,583.08
  5. Step 5: Solve for x
    x = 61,583.08/235.80
  6. Step 6: Final answer
    x = 261.17

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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.