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Finding the Fourth Proportional to 388.64, 539.54 and 376.76

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Solution

The fourth proportional to 388.64, 539.54 and 376.76 is: 523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.64 : 539.54 = 376.76 : x
  2. Step 2: Convert to fraction form
    388.64/539.54 = 376.76/x
  3. Step 3: Cross multiply
    388.64x = 539.54 × 376.76
  4. Step 4: Simplify right side
    388.64x = 203,277.09
  5. Step 5: Solve for x
    x = 203,277.09/388.64
  6. Step 6: Final answer
    x = 523.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.