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Finding the Fourth Proportional to 410.40, 566.35 and 223.89

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Solution

The fourth proportional to 410.40, 566.35 and 223.89 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.40 : 566.35 = 223.89 : x
  2. Step 2: Convert to fraction form
    410.40/566.35 = 223.89/x
  3. Step 3: Cross multiply
    410.40x = 566.35 × 223.89
  4. Step 4: Simplify right side
    410.40x = 126,796.15
  5. Step 5: Solve for x
    x = 126,796.15/410.40
  6. Step 6: Final answer
    x = 308.96

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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.