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Finding the Fourth Proportional to 283.20, 423.72 and 155.04

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Solution

The fourth proportional to 283.20, 423.72 and 155.04 is: 231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.20 : 423.72 = 155.04 : x
  2. Step 2: Convert to fraction form
    283.20/423.72 = 155.04/x
  3. Step 3: Cross multiply
    283.20x = 423.72 × 155.04
  4. Step 4: Simplify right side
    283.20x = 65,693.55
  5. Step 5: Solve for x
    x = 65,693.55/283.20
  6. Step 6: Final answer
    x = 231.97

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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.