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Finding the Fourth Proportional to 1,408.15, 2,112.22 and 368.15

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Solution

The fourth proportional to 1,408.15, 2,112.22 and 368.15 is: 552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.15 : 2,112.22 = 368.15 : x
  2. Step 2: Convert to fraction form
    1,408.15/2,112.22 = 368.15/x
  3. Step 3: Cross multiply
    1,408.15x = 2,112.22 × 368.15
  4. Step 4: Simplify right side
    1,408.15x = 777,613.79
  5. Step 5: Solve for x
    x = 777,613.79/1,408.15
  6. Step 6: Final answer
    x = 552.22

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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.