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Finding the Fourth Proportional to 255.51, 351.96 and 214.07

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Solution

The fourth proportional to 255.51, 351.96 and 214.07 is: 294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.51 : 351.96 = 214.07 : x
  2. Step 2: Convert to fraction form
    255.51/351.96 = 214.07/x
  3. Step 3: Cross multiply
    255.51x = 351.96 × 214.07
  4. Step 4: Simplify right side
    255.51x = 75,342.32
  5. Step 5: Solve for x
    x = 75,342.32/255.51
  6. Step 6: Final answer
    x = 294.87

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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.