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Finding the Fourth Proportional to 274.77, 378.75 and 209.16

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Solution

The fourth proportional to 274.77, 378.75 and 209.16 is: 288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.77 : 378.75 = 209.16 : x
  2. Step 2: Convert to fraction form
    274.77/378.75 = 209.16/x
  3. Step 3: Cross multiply
    274.77x = 378.75 × 209.16
  4. Step 4: Simplify right side
    274.77x = 79,219.35
  5. Step 5: Solve for x
    x = 79,219.35/274.77
  6. Step 6: Final answer
    x = 288.31

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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.