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Finding the Fourth Proportional to 410.43, 566.33 and 235.79

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Solution

The fourth proportional to 410.43, 566.33 and 235.79 is: 325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.43 : 566.33 = 235.79 : x
  2. Step 2: Convert to fraction form
    410.43/566.33 = 235.79/x
  3. Step 3: Cross multiply
    410.43x = 566.33 × 235.79
  4. Step 4: Simplify right side
    410.43x = 133,530.94
  5. Step 5: Solve for x
    x = 133,530.94/410.43
  6. Step 6: Final answer
    x = 325.34

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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.