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Finding the Fourth Proportional to 273, 409.29 and 142.84

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Solution

The fourth proportional to 273, 409.29 and 142.84 is: 214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273 : 409.29 = 142.84 : x
  2. Step 2: Convert to fraction form
    273/409.29 = 142.84/x
  3. Step 3: Cross multiply
    273x = 409.29 × 142.84
  4. Step 4: Simplify right side
    273x = 58,462.98
  5. Step 5: Solve for x
    x = 58,462.98/273
  6. Step 6: Final answer
    x = 214.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.