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Finding the Fourth Proportional to 808.04, 1,211.96 and 260.25

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Solution

The fourth proportional to 808.04, 1,211.96 and 260.25 is: 390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.04 : 1,211.96 = 260.25 : x
  2. Step 2: Convert to fraction form
    808.04/1,211.96 = 260.25/x
  3. Step 3: Cross multiply
    808.04x = 1,211.96 × 260.25
  4. Step 4: Simplify right side
    808.04x = 315,408.70
  5. Step 5: Solve for x
    x = 315,408.70/808.04
  6. Step 6: Final answer
    x = 390.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.