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Finding the Fourth Proportional to 357.80, 533.68 and 326.36

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Solution

The fourth proportional to 357.80, 533.68 and 326.36 is: 486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.80 : 533.68 = 326.36 : x
  2. Step 2: Convert to fraction form
    357.80/533.68 = 326.36/x
  3. Step 3: Cross multiply
    357.80x = 533.68 × 326.36
  4. Step 4: Simplify right side
    357.80x = 174,171.80
  5. Step 5: Solve for x
    x = 174,171.80/357.80
  6. Step 6: Final answer
    x = 486.79

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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.