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Finding the Fourth Proportional to 388.68, 535.05 and 353.85

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Solution

The fourth proportional to 388.68, 535.05 and 353.85 is: 487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.68 : 535.05 = 353.85 : x
  2. Step 2: Convert to fraction form
    388.68/535.05 = 353.85/x
  3. Step 3: Cross multiply
    388.68x = 535.05 × 353.85
  4. Step 4: Simplify right side
    388.68x = 189,327.44
  5. Step 5: Solve for x
    x = 189,327.44/388.68
  6. Step 6: Final answer
    x = 487.10

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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.