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Finding the Fourth Proportional to 301.08, 414.54 and 265.59

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Solution

The fourth proportional to 301.08, 414.54 and 265.59 is: 365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.08 : 414.54 = 265.59 : x
  2. Step 2: Convert to fraction form
    301.08/414.54 = 265.59/x
  3. Step 3: Cross multiply
    301.08x = 414.54 × 265.59
  4. Step 4: Simplify right side
    301.08x = 110,097.68
  5. Step 5: Solve for x
    x = 110,097.68/301.08
  6. Step 6: Final answer
    x = 365.68

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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.