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Finding the Fourth Proportional to 854.24, 1,281.11 and 367.18

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Solution

The fourth proportional to 854.24, 1,281.11 and 367.18 is: 550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.24 : 1,281.11 = 367.18 : x
  2. Step 2: Convert to fraction form
    854.24/1,281.11 = 367.18/x
  3. Step 3: Cross multiply
    854.24x = 1,281.11 × 367.18
  4. Step 4: Simplify right side
    854.24x = 470,392.93
  5. Step 5: Solve for x
    x = 470,392.93/854.24
  6. Step 6: Final answer
    x = 550.66

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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.