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Finding the Fourth Proportional to 274.58, 409.55 and 233.54

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Solution

The fourth proportional to 274.58, 409.55 and 233.54 is: 348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.58 : 409.55 = 233.54 : x
  2. Step 2: Convert to fraction form
    274.58/409.55 = 233.54/x
  3. Step 3: Cross multiply
    274.58x = 409.55 × 233.54
  4. Step 4: Simplify right side
    274.58x = 95,646.31
  5. Step 5: Solve for x
    x = 95,646.31/274.58
  6. Step 6: Final answer
    x = 348.34

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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.