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Finding the Fourth Proportional to 387.27, 533.57 and 356.27

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Solution

The fourth proportional to 387.27, 533.57 and 356.27 is: 490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.27 : 533.57 = 356.27 : x
  2. Step 2: Convert to fraction form
    387.27/533.57 = 356.27/x
  3. Step 3: Cross multiply
    387.27x = 533.57 × 356.27
  4. Step 4: Simplify right side
    387.27x = 190,090.53
  5. Step 5: Solve for x
    x = 190,090.53/387.27
  6. Step 6: Final answer
    x = 490.85

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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.