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Finding the Fourth Proportional to 304.62, 421.02 and 268.08

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Solution

The fourth proportional to 304.62, 421.02 and 268.08 is: 370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.62 : 421.02 = 268.08 : x
  2. Step 2: Convert to fraction form
    304.62/421.02 = 268.08/x
  3. Step 3: Cross multiply
    304.62x = 421.02 × 268.08
  4. Step 4: Simplify right side
    304.62x = 112,867.04
  5. Step 5: Solve for x
    x = 112,867.04/304.62
  6. Step 6: Final answer
    x = 370.52

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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.