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Finding the Fourth Proportional to 274.10, 407.62 and 265.45

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Solution

The fourth proportional to 274.10, 407.62 and 265.45 is: 394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.10 : 407.62 = 265.45 : x
  2. Step 2: Convert to fraction form
    274.10/407.62 = 265.45/x
  3. Step 3: Cross multiply
    274.10x = 407.62 × 265.45
  4. Step 4: Simplify right side
    274.10x = 108,201.00
  5. Step 5: Solve for x
    x = 108,201.00/274.10
  6. Step 6: Final answer
    x = 394.76

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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.