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Finding the Fourth Proportional to 358.23, 533.63 and 326.64

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Solution

The fourth proportional to 358.23, 533.63 and 326.64 is: 486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.23 : 533.63 = 326.64 : x
  2. Step 2: Convert to fraction form
    358.23/533.63 = 326.64/x
  3. Step 3: Cross multiply
    358.23x = 533.63 × 326.64
  4. Step 4: Simplify right side
    358.23x = 174,304.90
  5. Step 5: Solve for x
    x = 174,304.90/358.23
  6. Step 6: Final answer
    x = 486.57

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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.