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Finding the Fourth Proportional to 121.74, 182.59 and 35.08

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Solution

The fourth proportional to 121.74, 182.59 and 35.08 is: 52.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.74 : 182.59 = 35.08 : x
  2. Step 2: Convert to fraction form
    121.74/182.59 = 35.08/x
  3. Step 3: Cross multiply
    121.74x = 182.59 × 35.08
  4. Step 4: Simplify right side
    121.74x = 6,405.26
  5. Step 5: Solve for x
    x = 6,405.26/121.74
  6. Step 6: Final answer
    x = 52.61

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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.