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Finding the Fourth Proportional to 272.31, 407.91 and 118.17

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Solution

The fourth proportional to 272.31, 407.91 and 118.17 is: 177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.31 : 407.91 = 118.17 : x
  2. Step 2: Convert to fraction form
    272.31/407.91 = 118.17/x
  3. Step 3: Cross multiply
    272.31x = 407.91 × 118.17
  4. Step 4: Simplify right side
    272.31x = 48,202.72
  5. Step 5: Solve for x
    x = 48,202.72/272.31
  6. Step 6: Final answer
    x = 177.01

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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.