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Finding the Fourth Proportional to 304.87, 421.30 and 231.05

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Solution

The fourth proportional to 304.87, 421.30 and 231.05 is: 319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.87 : 421.30 = 231.05 : x
  2. Step 2: Convert to fraction form
    304.87/421.30 = 231.05/x
  3. Step 3: Cross multiply
    304.87x = 421.30 × 231.05
  4. Step 4: Simplify right side
    304.87x = 97,341.37
  5. Step 5: Solve for x
    x = 97,341.37/304.87
  6. Step 6: Final answer
    x = 319.29

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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.