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Finding the Fourth Proportional to 248.89, 371.14 and 214.87

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Solution

The fourth proportional to 248.89, 371.14 and 214.87 is: 320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.89 : 371.14 = 214.87 : x
  2. Step 2: Convert to fraction form
    248.89/371.14 = 214.87/x
  3. Step 3: Cross multiply
    248.89x = 371.14 × 214.87
  4. Step 4: Simplify right side
    248.89x = 79,746.85
  5. Step 5: Solve for x
    x = 79,746.85/248.89
  6. Step 6: Final answer
    x = 320.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.