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Finding the Fourth Proportional to 291.18, 436.16 and 169.18

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Solution

The fourth proportional to 291.18, 436.16 and 169.18 is: 253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.18 : 436.16 = 169.18 : x
  2. Step 2: Convert to fraction form
    291.18/436.16 = 169.18/x
  3. Step 3: Cross multiply
    291.18x = 436.16 × 169.18
  4. Step 4: Simplify right side
    291.18x = 73,789.55
  5. Step 5: Solve for x
    x = 73,789.55/291.18
  6. Step 6: Final answer
    x = 253.42

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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.