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Finding the Fourth Proportional to 259.56, 391.10 and 214.92

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Solution

The fourth proportional to 259.56, 391.10 and 214.92 is: 323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.56 : 391.10 = 214.92 : x
  2. Step 2: Convert to fraction form
    259.56/391.10 = 214.92/x
  3. Step 3: Cross multiply
    259.56x = 391.10 × 214.92
  4. Step 4: Simplify right side
    259.56x = 84,055.21
  5. Step 5: Solve for x
    x = 84,055.21/259.56
  6. Step 6: Final answer
    x = 323.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.