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Finding the Fourth Proportional to 274.17, 409.65 and 264.60

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Solution

The fourth proportional to 274.17, 409.65 and 264.60 is: 395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.17 : 409.65 = 264.60 : x
  2. Step 2: Convert to fraction form
    274.17/409.65 = 264.60/x
  3. Step 3: Cross multiply
    274.17x = 409.65 × 264.60
  4. Step 4: Simplify right side
    274.17x = 108,393.39
  5. Step 5: Solve for x
    x = 108,393.39/274.17
  6. Step 6: Final answer
    x = 395.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.