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Finding the Fourth Proportional to 259.20, 350.40 and 259.20

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Solution

The fourth proportional to 259.20, 350.40 and 259.20 is: 350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.20 : 350.40 = 259.20 : x
  2. Step 2: Convert to fraction form
    259.20/350.40 = 259.20/x
  3. Step 3: Cross multiply
    259.20x = 350.40 × 259.20
  4. Step 4: Simplify right side
    259.20x = 90,823.68
  5. Step 5: Solve for x
    x = 90,823.68/259.20
  6. Step 6: Final answer
    x = 350.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.