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Finding the Fourth Proportional to 356.77, 533.49 and 326.17

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Solution

The fourth proportional to 356.77, 533.49 and 326.17 is: 487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.77 : 533.49 = 326.17 : x
  2. Step 2: Convert to fraction form
    356.77/533.49 = 326.17/x
  3. Step 3: Cross multiply
    356.77x = 533.49 × 326.17
  4. Step 4: Simplify right side
    356.77x = 174,008.43
  5. Step 5: Solve for x
    x = 174,008.43/356.77
  6. Step 6: Final answer
    x = 487.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.