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Finding the Fourth Proportional to 422.21, 581.99 and 410.06

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Solution

The fourth proportional to 422.21, 581.99 and 410.06 is: 565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.21 : 581.99 = 410.06 : x
  2. Step 2: Convert to fraction form
    422.21/581.99 = 410.06/x
  3. Step 3: Cross multiply
    422.21x = 581.99 × 410.06
  4. Step 4: Simplify right side
    422.21x = 238,650.22
  5. Step 5: Solve for x
    x = 238,650.22/422.21
  6. Step 6: Final answer
    x = 565.24

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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.