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Finding the Fourth Proportional to 274.83, 410.03 and 240.54

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Solution

The fourth proportional to 274.83, 410.03 and 240.54 is: 358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.83 : 410.03 = 240.54 : x
  2. Step 2: Convert to fraction form
    274.83/410.03 = 240.54/x
  3. Step 3: Cross multiply
    274.83x = 410.03 × 240.54
  4. Step 4: Simplify right side
    274.83x = 98,627.41
  5. Step 5: Solve for x
    x = 98,627.41/274.83
  6. Step 6: Final answer
    x = 358.87

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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.