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Finding the Fourth Proportional to 248.70, 371.40 and 214.55

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Solution

The fourth proportional to 248.70, 371.40 and 214.55 is: 320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.70 : 371.40 = 214.55 : x
  2. Step 2: Convert to fraction form
    248.70/371.40 = 214.55/x
  3. Step 3: Cross multiply
    248.70x = 371.40 × 214.55
  4. Step 4: Simplify right side
    248.70x = 79,682.01
  5. Step 5: Solve for x
    x = 79,682.01/248.70
  6. Step 6: Final answer
    x = 320.39

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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.