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Finding the Fourth Proportional to 275.83, 411.41 and 234.79

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Solution

The fourth proportional to 275.83, 411.41 and 234.79 is: 350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.83 : 411.41 = 234.79 : x
  2. Step 2: Convert to fraction form
    275.83/411.41 = 234.79/x
  3. Step 3: Cross multiply
    275.83x = 411.41 × 234.79
  4. Step 4: Simplify right side
    275.83x = 96,594.51
  5. Step 5: Solve for x
    x = 96,594.51/275.83
  6. Step 6: Final answer
    x = 350.20

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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.