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Finding the Fourth Proportional to 474.51, 712.09 and 231.20

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Solution

The fourth proportional to 474.51, 712.09 and 231.20 is: 346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.51 : 712.09 = 231.20 : x
  2. Step 2: Convert to fraction form
    474.51/712.09 = 231.20/x
  3. Step 3: Cross multiply
    474.51x = 712.09 × 231.20
  4. Step 4: Simplify right side
    474.51x = 164,635.21
  5. Step 5: Solve for x
    x = 164,635.21/474.51
  6. Step 6: Final answer
    x = 346.96

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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.