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Finding the Fourth Proportional to 301.06, 415.40 and 170.08

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Solution

The fourth proportional to 301.06, 415.40 and 170.08 is: 234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.06 : 415.40 = 170.08 : x
  2. Step 2: Convert to fraction form
    301.06/415.40 = 170.08/x
  3. Step 3: Cross multiply
    301.06x = 415.40 × 170.08
  4. Step 4: Simplify right side
    301.06x = 70,651.23
  5. Step 5: Solve for x
    x = 70,651.23/301.06
  6. Step 6: Final answer
    x = 234.67

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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.