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Finding the Fourth Proportional to 251.71, 347.51 and 214.25

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Solution

The fourth proportional to 251.71, 347.51 and 214.25 is: 295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.71 : 347.51 = 214.25 : x
  2. Step 2: Convert to fraction form
    251.71/347.51 = 214.25/x
  3. Step 3: Cross multiply
    251.71x = 347.51 × 214.25
  4. Step 4: Simplify right side
    251.71x = 74,452.82
  5. Step 5: Solve for x
    x = 74,452.82/251.71
  6. Step 6: Final answer
    x = 295.79

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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.