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Finding the Fourth Proportional to 272.13, 407.67 and 257.14

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Solution

The fourth proportional to 272.13, 407.67 and 257.14 is: 385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.13 : 407.67 = 257.14 : x
  2. Step 2: Convert to fraction form
    272.13/407.67 = 257.14/x
  3. Step 3: Cross multiply
    272.13x = 407.67 × 257.14
  4. Step 4: Simplify right side
    272.13x = 104,828.26
  5. Step 5: Solve for x
    x = 104,828.26/272.13
  6. Step 6: Final answer
    x = 385.21

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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.