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Finding the Fourth Proportional to 269.80, 407.11 and 260.80

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Solution

The fourth proportional to 269.80, 407.11 and 260.80 is: 393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.80 : 407.11 = 260.80 : x
  2. Step 2: Convert to fraction form
    269.80/407.11 = 260.80/x
  3. Step 3: Cross multiply
    269.80x = 407.11 × 260.80
  4. Step 4: Simplify right side
    269.80x = 106,174.29
  5. Step 5: Solve for x
    x = 106,174.29/269.80
  6. Step 6: Final answer
    x = 393.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.