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Finding the Fourth Proportional to 301.45, 414.75 and 235.84

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Solution

The fourth proportional to 301.45, 414.75 and 235.84 is: 324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.45 : 414.75 = 235.84 : x
  2. Step 2: Convert to fraction form
    301.45/414.75 = 235.84/x
  3. Step 3: Cross multiply
    301.45x = 414.75 × 235.84
  4. Step 4: Simplify right side
    301.45x = 97,814.64
  5. Step 5: Solve for x
    x = 97,814.64/301.45
  6. Step 6: Final answer
    x = 324.48

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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.