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Finding the Fourth Proportional to 388.06, 534.72 and 387.34

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Solution

The fourth proportional to 388.06, 534.72 and 387.34 is: 533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.06 : 534.72 = 387.34 : x
  2. Step 2: Convert to fraction form
    388.06/534.72 = 387.34/x
  3. Step 3: Cross multiply
    388.06x = 534.72 × 387.34
  4. Step 4: Simplify right side
    388.06x = 207,118.44
  5. Step 5: Solve for x
    x = 207,118.44/388.06
  6. Step 6: Final answer
    x = 533.73

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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.