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Finding the Fourth Proportional to 291.01, 434.20 and 273.50

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Solution

The fourth proportional to 291.01, 434.20 and 273.50 is: 408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.01 : 434.20 = 273.50 : x
  2. Step 2: Convert to fraction form
    291.01/434.20 = 273.50/x
  3. Step 3: Cross multiply
    291.01x = 434.20 × 273.50
  4. Step 4: Simplify right side
    291.01x = 118,753.70
  5. Step 5: Solve for x
    x = 118,753.70/291.01
  6. Step 6: Final answer
    x = 408.07

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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.