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Finding the Fourth Proportional to 615.39, 849.10 and 366.81

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Solution

The fourth proportional to 615.39, 849.10 and 366.81 is: 506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.39 : 849.10 = 366.81 : x
  2. Step 2: Convert to fraction form
    615.39/849.10 = 366.81/x
  3. Step 3: Cross multiply
    615.39x = 849.10 × 366.81
  4. Step 4: Simplify right side
    615.39x = 311,458.37
  5. Step 5: Solve for x
    x = 311,458.37/615.39
  6. Step 6: Final answer
    x = 506.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.