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Finding the Fourth Proportional to 388.40, 585.10 and 331.88

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Solution

The fourth proportional to 388.40, 585.10 and 331.88 is: 499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.40 : 585.10 = 331.88 : x
  2. Step 2: Convert to fraction form
    388.40/585.10 = 331.88/x
  3. Step 3: Cross multiply
    388.40x = 585.10 × 331.88
  4. Step 4: Simplify right side
    388.40x = 194,182.99
  5. Step 5: Solve for x
    x = 194,182.99/388.40
  6. Step 6: Final answer
    x = 499.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.