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Finding the Fourth Proportional to 410.43, 566.45 and 235.83

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Solution

The fourth proportional to 410.43, 566.45 and 235.83 is: 325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.43 : 566.45 = 235.83 : x
  2. Step 2: Convert to fraction form
    410.43/566.45 = 235.83/x
  3. Step 3: Cross multiply
    410.43x = 566.45 × 235.83
  4. Step 4: Simplify right side
    410.43x = 133,584.72
  5. Step 5: Solve for x
    x = 133,584.72/410.43
  6. Step 6: Final answer
    x = 325.48

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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.