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Finding the Fourth Proportional to 248.23, 342.38 and 155.03

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Solution

The fourth proportional to 248.23, 342.38 and 155.03 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.23 : 342.38 = 155.03 : x
  2. Step 2: Convert to fraction form
    248.23/342.38 = 155.03/x
  3. Step 3: Cross multiply
    248.23x = 342.38 × 155.03
  4. Step 4: Simplify right side
    248.23x = 53,079.17
  5. Step 5: Solve for x
    x = 53,079.17/248.23
  6. Step 6: Final answer
    x = 213.83

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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.