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Finding the Fourth Proportional to 285.16, 426.46 and 169.28

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Solution

The fourth proportional to 285.16, 426.46 and 169.28 is: 253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.16 : 426.46 = 169.28 : x
  2. Step 2: Convert to fraction form
    285.16/426.46 = 169.28/x
  3. Step 3: Cross multiply
    285.16x = 426.46 × 169.28
  4. Step 4: Simplify right side
    285.16x = 72,191.15
  5. Step 5: Solve for x
    x = 72,191.15/285.16
  6. Step 6: Final answer
    x = 253.16

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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.