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Finding the Fourth Proportional to 291.38, 434.13 and 272.76

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Solution

The fourth proportional to 291.38, 434.13 and 272.76 is: 406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.38 : 434.13 = 272.76 : x
  2. Step 2: Convert to fraction form
    291.38/434.13 = 272.76/x
  3. Step 3: Cross multiply
    291.38x = 434.13 × 272.76
  4. Step 4: Simplify right side
    291.38x = 118,413.30
  5. Step 5: Solve for x
    x = 118,413.30/291.38
  6. Step 6: Final answer
    x = 406.39

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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.