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Finding the Fourth Proportional to 235.30, 352.95 and 113.65

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Solution

The fourth proportional to 235.30, 352.95 and 113.65 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.30 : 352.95 = 113.65 : x
  2. Step 2: Convert to fraction form
    235.30/352.95 = 113.65/x
  3. Step 3: Cross multiply
    235.30x = 352.95 × 113.65
  4. Step 4: Simplify right side
    235.30x = 40,111.00
  5. Step 5: Solve for x
    x = 40,111.00/235.30
  6. Step 6: Final answer
    x = 170.47

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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.