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Finding the Fourth Proportional to 275.10, 380.61 and 233.52

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Solution

The fourth proportional to 275.10, 380.61 and 233.52 is: 323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.10 : 380.61 = 233.52 : x
  2. Step 2: Convert to fraction form
    275.10/380.61 = 233.52/x
  3. Step 3: Cross multiply
    275.10x = 380.61 × 233.52
  4. Step 4: Simplify right side
    275.10x = 88,880.05
  5. Step 5: Solve for x
    x = 88,880.05/275.10
  6. Step 6: Final answer
    x = 323.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.