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Finding the Fourth Proportional to 411.36, 614.03 and 362.76

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Solution

The fourth proportional to 411.36, 614.03 and 362.76 is: 541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.36 : 614.03 = 362.76 : x
  2. Step 2: Convert to fraction form
    411.36/614.03 = 362.76/x
  3. Step 3: Cross multiply
    411.36x = 614.03 × 362.76
  4. Step 4: Simplify right side
    411.36x = 222,745.52
  5. Step 5: Solve for x
    x = 222,745.52/411.36
  6. Step 6: Final answer
    x = 541.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.