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Finding the Fourth Proportional to 285.10, 426.58 and 169.11

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Solution

The fourth proportional to 285.10, 426.58 and 169.11 is: 253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.10 : 426.58 = 169.11 : x
  2. Step 2: Convert to fraction form
    285.10/426.58 = 169.11/x
  3. Step 3: Cross multiply
    285.10x = 426.58 × 169.11
  4. Step 4: Simplify right side
    285.10x = 72,138.94
  5. Step 5: Solve for x
    x = 72,138.94/285.10
  6. Step 6: Final answer
    x = 253.03

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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.