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Finding the Fourth Proportional to 308.96, 461.01 and 272.04

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Solution

The fourth proportional to 308.96, 461.01 and 272.04 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.96 : 461.01 = 272.04 : x
  2. Step 2: Convert to fraction form
    308.96/461.01 = 272.04/x
  3. Step 3: Cross multiply
    308.96x = 461.01 × 272.04
  4. Step 4: Simplify right side
    308.96x = 125,413.16
  5. Step 5: Solve for x
    x = 125,413.16/308.96
  6. Step 6: Final answer
    x = 405.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.