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Finding the Fourth Proportional to 301, 414.30 and 268.24

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Solution

The fourth proportional to 301, 414.30 and 268.24 is: 369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 414.30 = 268.24 : x
  2. Step 2: Convert to fraction form
    301/414.30 = 268.24/x
  3. Step 3: Cross multiply
    301x = 414.30 × 268.24
  4. Step 4: Simplify right side
    301x = 111,131.83
  5. Step 5: Solve for x
    x = 111,131.83/301
  6. Step 6: Final answer
    x = 369.21

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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.