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Finding the Fourth Proportional to 304.30, 419.86 and 193.64

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Solution

The fourth proportional to 304.30, 419.86 and 193.64 is: 267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.30 : 419.86 = 193.64 : x
  2. Step 2: Convert to fraction form
    304.30/419.86 = 193.64/x
  3. Step 3: Cross multiply
    304.30x = 419.86 × 193.64
  4. Step 4: Simplify right side
    304.30x = 81,301.65
  5. Step 5: Solve for x
    x = 81,301.65/304.30
  6. Step 6: Final answer
    x = 267.18

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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.