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Finding the Fourth Proportional to 388.97, 583.45 and 100.41

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Solution

The fourth proportional to 388.97, 583.45 and 100.41 is: 150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.97 : 583.45 = 100.41 : x
  2. Step 2: Convert to fraction form
    388.97/583.45 = 100.41/x
  3. Step 3: Cross multiply
    388.97x = 583.45 × 100.41
  4. Step 4: Simplify right side
    388.97x = 58,582.34
  5. Step 5: Solve for x
    x = 58,582.34/388.97
  6. Step 6: Final answer
    x = 150.61

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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.