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Finding the Fourth Proportional to 248.52, 371.88 and 209.64

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Solution

The fourth proportional to 248.52, 371.88 and 209.64 is: 313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.52 : 371.88 = 209.64 : x
  2. Step 2: Convert to fraction form
    248.52/371.88 = 209.64/x
  3. Step 3: Cross multiply
    248.52x = 371.88 × 209.64
  4. Step 4: Simplify right side
    248.52x = 77,960.92
  5. Step 5: Solve for x
    x = 77,960.92/248.52
  6. Step 6: Final answer
    x = 313.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.