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Finding the Fourth Proportional to 356.21, 531.71 and 327.32

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Solution

The fourth proportional to 356.21, 531.71 and 327.32 is: 488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.21 : 531.71 = 327.32 : x
  2. Step 2: Convert to fraction form
    356.21/531.71 = 327.32/x
  3. Step 3: Cross multiply
    356.21x = 531.71 × 327.32
  4. Step 4: Simplify right side
    356.21x = 174,037.48
  5. Step 5: Solve for x
    x = 174,037.48/356.21
  6. Step 6: Final answer
    x = 488.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.