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Finding the Fourth Proportional to 263.25, 364.84 and 259.20

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Solution

The fourth proportional to 263.25, 364.84 and 259.20 is: 359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.25 : 364.84 = 259.20 : x
  2. Step 2: Convert to fraction form
    263.25/364.84 = 259.20/x
  3. Step 3: Cross multiply
    263.25x = 364.84 × 259.20
  4. Step 4: Simplify right side
    263.25x = 94,565.88
  5. Step 5: Solve for x
    x = 94,565.88/263.25
  6. Step 6: Final answer
    x = 359.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.