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Finding the Fourth Proportional to 248.49, 342.78 and 201.91

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Solution

The fourth proportional to 248.49, 342.78 and 201.91 is: 278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.49 : 342.78 = 201.91 : x
  2. Step 2: Convert to fraction form
    248.49/342.78 = 201.91/x
  3. Step 3: Cross multiply
    248.49x = 342.78 × 201.91
  4. Step 4: Simplify right side
    248.49x = 69,210.71
  5. Step 5: Solve for x
    x = 69,210.71/248.49
  6. Step 6: Final answer
    x = 278.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.