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Finding the Fourth Proportional to 304.35, 456.70 and 201.68

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Solution

The fourth proportional to 304.35, 456.70 and 201.68 is: 302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.35 : 456.70 = 201.68 : x
  2. Step 2: Convert to fraction form
    304.35/456.70 = 201.68/x
  3. Step 3: Cross multiply
    304.35x = 456.70 × 201.68
  4. Step 4: Simplify right side
    304.35x = 92,107.89
  5. Step 5: Solve for x
    x = 92,107.89/304.35
  6. Step 6: Final answer
    x = 302.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.