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Finding the Fourth Proportional to 272.35, 407.98 and 162.39

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Solution

The fourth proportional to 272.35, 407.98 and 162.39 is: 243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.35 : 407.98 = 162.39 : x
  2. Step 2: Convert to fraction form
    272.35/407.98 = 162.39/x
  3. Step 3: Cross multiply
    272.35x = 407.98 × 162.39
  4. Step 4: Simplify right side
    272.35x = 66,253.61
  5. Step 5: Solve for x
    x = 66,253.61/272.35
  6. Step 6: Final answer
    x = 243.27

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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.