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Finding the Fourth Proportional to 409.72, 565.14 and 326.68

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Solution

The fourth proportional to 409.72, 565.14 and 326.68 is: 450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.72 : 565.14 = 326.68 : x
  2. Step 2: Convert to fraction form
    409.72/565.14 = 326.68/x
  3. Step 3: Cross multiply
    409.72x = 565.14 × 326.68
  4. Step 4: Simplify right side
    409.72x = 184,619.94
  5. Step 5: Solve for x
    x = 184,619.94/409.72
  6. Step 6: Final answer
    x = 450.60

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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.