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Finding the Fourth Proportional to 410.05, 565.86 and 223.54

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Solution

The fourth proportional to 410.05, 565.86 and 223.54 is: 308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.05 : 565.86 = 223.54 : x
  2. Step 2: Convert to fraction form
    410.05/565.86 = 223.54/x
  3. Step 3: Cross multiply
    410.05x = 565.86 × 223.54
  4. Step 4: Simplify right side
    410.05x = 126,492.34
  5. Step 5: Solve for x
    x = 126,492.34/410.05
  6. Step 6: Final answer
    x = 308.48

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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.