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Finding the Fourth Proportional to 248.54, 342.90 and 160.11

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Solution

The fourth proportional to 248.54, 342.90 and 160.11 is: 220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.54 : 342.90 = 160.11 : x
  2. Step 2: Convert to fraction form
    248.54/342.90 = 160.11/x
  3. Step 3: Cross multiply
    248.54x = 342.90 × 160.11
  4. Step 4: Simplify right side
    248.54x = 54,901.72
  5. Step 5: Solve for x
    x = 54,901.72/248.54
  6. Step 6: Final answer
    x = 220.90

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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.