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Finding the Fourth Proportional to 409.96, 565.68 and 270.14

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Solution

The fourth proportional to 409.96, 565.68 and 270.14 is: 372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.96 : 565.68 = 270.14 : x
  2. Step 2: Convert to fraction form
    409.96/565.68 = 270.14/x
  3. Step 3: Cross multiply
    409.96x = 565.68 × 270.14
  4. Step 4: Simplify right side
    409.96x = 152,810.98
  5. Step 5: Solve for x
    x = 152,810.98/409.96
  6. Step 6: Final answer
    x = 372.74

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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.