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Finding the Fourth Proportional to 274.99, 411.85 and 178.51

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Solution

The fourth proportional to 274.99, 411.85 and 178.51 is: 267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.99 : 411.85 = 178.51 : x
  2. Step 2: Convert to fraction form
    274.99/411.85 = 178.51/x
  3. Step 3: Cross multiply
    274.99x = 411.85 × 178.51
  4. Step 4: Simplify right side
    274.99x = 73,519.34
  5. Step 5: Solve for x
    x = 73,519.34/274.99
  6. Step 6: Final answer
    x = 267.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.