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Finding the Fourth Proportional to 411.51, 614.14 and 362.77

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Solution

The fourth proportional to 411.51, 614.14 and 362.77 is: 541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.51 : 614.14 = 362.77 : x
  2. Step 2: Convert to fraction form
    411.51/614.14 = 362.77/x
  3. Step 3: Cross multiply
    411.51x = 614.14 × 362.77
  4. Step 4: Simplify right side
    411.51x = 222,789.13
  5. Step 5: Solve for x
    x = 222,789.13/411.51
  6. Step 6: Final answer
    x = 541.39

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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.