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Finding the Fourth Proportional to 248.02, 342.54 and 193.41

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Solution

The fourth proportional to 248.02, 342.54 and 193.41 is: 267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.02 : 342.54 = 193.41 : x
  2. Step 2: Convert to fraction form
    248.02/342.54 = 193.41/x
  3. Step 3: Cross multiply
    248.02x = 342.54 × 193.41
  4. Step 4: Simplify right side
    248.02x = 66,249.69
  5. Step 5: Solve for x
    x = 66,249.69/248.02
  6. Step 6: Final answer
    x = 267.11

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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.