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Finding the Fourth Proportional to 301.15, 415.78 and 246.02

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Solution

The fourth proportional to 301.15, 415.78 and 246.02 is: 339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.15 : 415.78 = 246.02 : x
  2. Step 2: Convert to fraction form
    301.15/415.78 = 246.02/x
  3. Step 3: Cross multiply
    301.15x = 415.78 × 246.02
  4. Step 4: Simplify right side
    301.15x = 102,290.20
  5. Step 5: Solve for x
    x = 102,290.20/301.15
  6. Step 6: Final answer
    x = 339.67

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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.