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Finding the Fourth Proportional to 516.25, 712.43 and 295.21

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Solution

The fourth proportional to 516.25, 712.43 and 295.21 is: 407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.25 : 712.43 = 295.21 : x
  2. Step 2: Convert to fraction form
    516.25/712.43 = 295.21/x
  3. Step 3: Cross multiply
    516.25x = 712.43 × 295.21
  4. Step 4: Simplify right side
    516.25x = 210,316.46
  5. Step 5: Solve for x
    x = 210,316.46/516.25
  6. Step 6: Final answer
    x = 407.39

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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.