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Finding the Fourth Proportional to 272.84, 411.29 and 257.18

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Solution

The fourth proportional to 272.84, 411.29 and 257.18 is: 387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.84 : 411.29 = 257.18 : x
  2. Step 2: Convert to fraction form
    272.84/411.29 = 257.18/x
  3. Step 3: Cross multiply
    272.84x = 411.29 × 257.18
  4. Step 4: Simplify right side
    272.84x = 105,775.56
  5. Step 5: Solve for x
    x = 105,775.56/272.84
  6. Step 6: Final answer
    x = 387.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.