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Finding the Fourth Proportional to 291.35, 436.56 and 161.16

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Solution

The fourth proportional to 291.35, 436.56 and 161.16 is: 241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.35 : 436.56 = 161.16 : x
  2. Step 2: Convert to fraction form
    291.35/436.56 = 161.16/x
  3. Step 3: Cross multiply
    291.35x = 436.56 × 161.16
  4. Step 4: Simplify right side
    291.35x = 70,356.01
  5. Step 5: Solve for x
    x = 70,356.01/291.35
  6. Step 6: Final answer
    x = 241.48

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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.