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Finding the Fourth Proportional to 1,291.42, 1,936.82 and 366.76

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Solution

The fourth proportional to 1,291.42, 1,936.82 and 366.76 is: 550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.42 : 1,936.82 = 366.76 : x
  2. Step 2: Convert to fraction form
    1,291.42/1,936.82 = 366.76/x
  3. Step 3: Cross multiply
    1,291.42x = 1,936.82 × 366.76
  4. Step 4: Simplify right side
    1,291.42x = 710,348.10
  5. Step 5: Solve for x
    x = 710,348.10/1,291.42
  6. Step 6: Final answer
    x = 550.05

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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.