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Finding the Fourth Proportional to 410.91, 566.96 and 263.75

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Solution

The fourth proportional to 410.91, 566.96 and 263.75 is: 363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.91 : 566.96 = 263.75 : x
  2. Step 2: Convert to fraction form
    410.91/566.96 = 263.75/x
  3. Step 3: Cross multiply
    410.91x = 566.96 × 263.75
  4. Step 4: Simplify right side
    410.91x = 149,535.00
  5. Step 5: Solve for x
    x = 149,535.00/410.91
  6. Step 6: Final answer
    x = 363.91

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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.