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Finding the Fourth Proportional to 410.16, 566.01 and 223.64

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Solution

The fourth proportional to 410.16, 566.01 and 223.64 is: 308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.16 : 566.01 = 223.64 : x
  2. Step 2: Convert to fraction form
    410.16/566.01 = 223.64/x
  3. Step 3: Cross multiply
    410.16x = 566.01 × 223.64
  4. Step 4: Simplify right side
    410.16x = 126,582.48
  5. Step 5: Solve for x
    x = 126,582.48/410.16
  6. Step 6: Final answer
    x = 308.62

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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.