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Finding the Fourth Proportional to 248.40, 371.14 and 210

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Solution

The fourth proportional to 248.40, 371.14 and 210 is: 313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.40 : 371.14 = 210 : x
  2. Step 2: Convert to fraction form
    248.40/371.14 = 210/x
  3. Step 3: Cross multiply
    248.40x = 371.14 × 210
  4. Step 4: Simplify right side
    248.40x = 77,939.40
  5. Step 5: Solve for x
    x = 77,939.40/248.40
  6. Step 6: Final answer
    x = 313.77

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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.