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Finding the Fourth Proportional to 388.69, 584.13 and 206.23

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Solution

The fourth proportional to 388.69, 584.13 and 206.23 is: 309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.69 : 584.13 = 206.23 : x
  2. Step 2: Convert to fraction form
    388.69/584.13 = 206.23/x
  3. Step 3: Cross multiply
    388.69x = 584.13 × 206.23
  4. Step 4: Simplify right side
    388.69x = 120,465.13
  5. Step 5: Solve for x
    x = 120,465.13/388.69
  6. Step 6: Final answer
    x = 309.93

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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.