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Finding the Fourth Proportional to 301.58, 414.69 and 257.84

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Solution

The fourth proportional to 301.58, 414.69 and 257.84 is: 354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.58 : 414.69 = 257.84 : x
  2. Step 2: Convert to fraction form
    301.58/414.69 = 257.84/x
  3. Step 3: Cross multiply
    301.58x = 414.69 × 257.84
  4. Step 4: Simplify right side
    301.58x = 106,923.67
  5. Step 5: Solve for x
    x = 106,923.67/301.58
  6. Step 6: Final answer
    x = 354.54

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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.