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Finding the Fourth Proportional to 410.09, 565.91 and 230.64

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Solution

The fourth proportional to 410.09, 565.91 and 230.64 is: 318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.09 : 565.91 = 230.64 : x
  2. Step 2: Convert to fraction form
    410.09/565.91 = 230.64/x
  3. Step 3: Cross multiply
    410.09x = 565.91 × 230.64
  4. Step 4: Simplify right side
    410.09x = 130,520.33
  5. Step 5: Solve for x
    x = 130,520.33/410.09
  6. Step 6: Final answer
    x = 318.28

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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.