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Finding the Fourth Proportional to 259.80, 355.86 and 259.08

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Solution

The fourth proportional to 259.80, 355.86 and 259.08 is: 354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 355.86 = 259.08 : x
  2. Step 2: Convert to fraction form
    259.80/355.86 = 259.08/x
  3. Step 3: Cross multiply
    259.80x = 355.86 × 259.08
  4. Step 4: Simplify right side
    259.80x = 92,196.21
  5. Step 5: Solve for x
    x = 92,196.21/259.80
  6. Step 6: Final answer
    x = 354.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.