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Finding the Fourth Proportional to 474.65, 712.19 and 214.51

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Solution

The fourth proportional to 474.65, 712.19 and 214.51 is: 321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.65 : 712.19 = 214.51 : x
  2. Step 2: Convert to fraction form
    474.65/712.19 = 214.51/x
  3. Step 3: Cross multiply
    474.65x = 712.19 × 214.51
  4. Step 4: Simplify right side
    474.65x = 152,771.88
  5. Step 5: Solve for x
    x = 152,771.88/474.65
  6. Step 6: Final answer
    x = 321.86

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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.