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Finding the Fourth Proportional to 388.20, 535.80 and 240.96

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Solution

The fourth proportional to 388.20, 535.80 and 240.96 is: 332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.20 : 535.80 = 240.96 : x
  2. Step 2: Convert to fraction form
    388.20/535.80 = 240.96/x
  3. Step 3: Cross multiply
    388.20x = 535.80 × 240.96
  4. Step 4: Simplify right side
    388.20x = 129,106.37
  5. Step 5: Solve for x
    x = 129,106.37/388.20
  6. Step 6: Final answer
    x = 332.58

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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.