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Finding the Fourth Proportional to 274.60, 409.61 and 253.72

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Solution

The fourth proportional to 274.60, 409.61 and 253.72 is: 378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.60 : 409.61 = 253.72 : x
  2. Step 2: Convert to fraction form
    274.60/409.61 = 253.72/x
  3. Step 3: Cross multiply
    274.60x = 409.61 × 253.72
  4. Step 4: Simplify right side
    274.60x = 103,926.25
  5. Step 5: Solve for x
    x = 103,926.25/274.60
  6. Step 6: Final answer
    x = 378.46

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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.