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Finding the Fourth Proportional to 269.28, 405.72 and 259.20

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Solution

The fourth proportional to 269.28, 405.72 and 259.20 is: 390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.28 : 405.72 = 259.20 : x
  2. Step 2: Convert to fraction form
    269.28/405.72 = 259.20/x
  3. Step 3: Cross multiply
    269.28x = 405.72 × 259.20
  4. Step 4: Simplify right side
    269.28x = 105,162.62
  5. Step 5: Solve for x
    x = 105,162.62/269.28
  6. Step 6: Final answer
    x = 390.53

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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.