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Finding the Fourth Proportional to 301.55, 414.16 and 268.74

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Solution

The fourth proportional to 301.55, 414.16 and 268.74 is: 369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.55 : 414.16 = 268.74 : x
  2. Step 2: Convert to fraction form
    301.55/414.16 = 268.74/x
  3. Step 3: Cross multiply
    301.55x = 414.16 × 268.74
  4. Step 4: Simplify right side
    301.55x = 111,300.69
  5. Step 5: Solve for x
    x = 111,300.69/301.55
  6. Step 6: Final answer
    x = 369.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.