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Finding the Fourth Proportional to 409.98, 565.90 and 270.21

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Solution

The fourth proportional to 409.98, 565.90 and 270.21 is: 372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.98 : 565.90 = 270.21 : x
  2. Step 2: Convert to fraction form
    409.98/565.90 = 270.21/x
  3. Step 3: Cross multiply
    409.98x = 565.90 × 270.21
  4. Step 4: Simplify right side
    409.98x = 152,911.84
  5. Step 5: Solve for x
    x = 152,911.84/409.98
  6. Step 6: Final answer
    x = 372.97

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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.