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Finding the Fourth Proportional to 274.94, 410.39 and 256.71

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Solution

The fourth proportional to 274.94, 410.39 and 256.71 is: 383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.94 : 410.39 = 256.71 : x
  2. Step 2: Convert to fraction form
    274.94/410.39 = 256.71/x
  3. Step 3: Cross multiply
    274.94x = 410.39 × 256.71
  4. Step 4: Simplify right side
    274.94x = 105,351.86
  5. Step 5: Solve for x
    x = 105,351.86/274.94
  6. Step 6: Final answer
    x = 383.19

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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.