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Finding the Fourth Proportional to 275.72, 378.08 and 248.00

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Solution

The fourth proportional to 275.72, 378.08 and 248.00 is: 340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.72 : 378.08 = 248.00 : x
  2. Step 2: Convert to fraction form
    275.72/378.08 = 248.00/x
  3. Step 3: Cross multiply
    275.72x = 378.08 × 248.00
  4. Step 4: Simplify right side
    275.72x = 93,762.57
  5. Step 5: Solve for x
    x = 93,762.57/275.72
  6. Step 6: Final answer
    x = 340.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.