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Finding the Fourth Proportional to 248.54, 342.78 and 155.11

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Solution

The fourth proportional to 248.54, 342.78 and 155.11 is: 213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.54 : 342.78 = 155.11 : x
  2. Step 2: Convert to fraction form
    248.54/342.78 = 155.11/x
  3. Step 3: Cross multiply
    248.54x = 342.78 × 155.11
  4. Step 4: Simplify right side
    248.54x = 53,166.89
  5. Step 5: Solve for x
    x = 53,166.89/248.54
  6. Step 6: Final answer
    x = 213.92

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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.