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Finding the Fourth Proportional to 457.14, 684.81 and 213.42

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Solution

The fourth proportional to 457.14, 684.81 and 213.42 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.14 : 684.81 = 213.42 : x
  2. Step 2: Convert to fraction form
    457.14/684.81 = 213.42/x
  3. Step 3: Cross multiply
    457.14x = 684.81 × 213.42
  4. Step 4: Simplify right side
    457.14x = 146,152.15
  5. Step 5: Solve for x
    x = 146,152.15/457.14
  6. Step 6: Final answer
    x = 319.71

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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.