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Finding the Fourth Proportional to 409.60, 565.14 and 234.94

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Solution

The fourth proportional to 409.60, 565.14 and 234.94 is: 324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 565.14 = 234.94 : x
  2. Step 2: Convert to fraction form
    409.60/565.14 = 234.94/x
  3. Step 3: Cross multiply
    409.60x = 565.14 × 234.94
  4. Step 4: Simplify right side
    409.60x = 132,773.99
  5. Step 5: Solve for x
    x = 132,773.99/409.60
  6. Step 6: Final answer
    x = 324.16

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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.