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Finding the Fourth Proportional to 248.84, 374.94 and 206.45

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Solution

The fourth proportional to 248.84, 374.94 and 206.45 is: 311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.84 : 374.94 = 206.45 : x
  2. Step 2: Convert to fraction form
    248.84/374.94 = 206.45/x
  3. Step 3: Cross multiply
    248.84x = 374.94 × 206.45
  4. Step 4: Simplify right side
    248.84x = 77,404.49
  5. Step 5: Solve for x
    x = 77,404.49/248.84
  6. Step 6: Final answer
    x = 311.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.