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Finding the Fourth Proportional to 291.20, 435.84 and 162.56

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Solution

The fourth proportional to 291.20, 435.84 and 162.56 is: 243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.20 : 435.84 = 162.56 : x
  2. Step 2: Convert to fraction form
    291.20/435.84 = 162.56/x
  3. Step 3: Cross multiply
    291.20x = 435.84 × 162.56
  4. Step 4: Simplify right side
    291.20x = 70,850.15
  5. Step 5: Solve for x
    x = 70,850.15/291.20
  6. Step 6: Final answer
    x = 243.30

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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.