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Finding the Fourth Proportional to 388.97, 583.68 and 206.36

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Solution

The fourth proportional to 388.97, 583.68 and 206.36 is: 309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.97 : 583.68 = 206.36 : x
  2. Step 2: Convert to fraction form
    388.97/583.68 = 206.36/x
  3. Step 3: Cross multiply
    388.97x = 583.68 × 206.36
  4. Step 4: Simplify right side
    388.97x = 120,448.89
  5. Step 5: Solve for x
    x = 120,448.89/388.97
  6. Step 6: Final answer
    x = 309.66

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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.