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Finding the Fourth Proportional to 845.19, 1,267.65 and 268.20

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Solution

The fourth proportional to 845.19, 1,267.65 and 268.20 is: 402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.19 : 1,267.65 = 268.20 : x
  2. Step 2: Convert to fraction form
    845.19/1,267.65 = 268.20/x
  3. Step 3: Cross multiply
    845.19x = 1,267.65 × 268.20
  4. Step 4: Simplify right side
    845.19x = 339,983.73
  5. Step 5: Solve for x
    x = 339,983.73/845.19
  6. Step 6: Final answer
    x = 402.26

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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.