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Finding the Fourth Proportional to 410.83, 566.29 and 263.21

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Solution

The fourth proportional to 410.83, 566.29 and 263.21 is: 362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.83 : 566.29 = 263.21 : x
  2. Step 2: Convert to fraction form
    410.83/566.29 = 263.21/x
  3. Step 3: Cross multiply
    410.83x = 566.29 × 263.21
  4. Step 4: Simplify right side
    410.83x = 149,050.69
  5. Step 5: Solve for x
    x = 149,050.69/410.83
  6. Step 6: Final answer
    x = 362.81

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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.