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Finding the Fourth Proportional to 506.80, 700.00 and 366.69

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Solution

The fourth proportional to 506.80, 700.00 and 366.69 is: 506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 700.00 = 366.69 : x
  2. Step 2: Convert to fraction form
    506.80/700.00 = 366.69/x
  3. Step 3: Cross multiply
    506.80x = 700.00 × 366.69
  4. Step 4: Simplify right side
    506.80x = 256,685.39
  5. Step 5: Solve for x
    x = 256,685.39/506.80
  6. Step 6: Final answer
    x = 506.49

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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.