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Finding the Fourth Proportional to 283.47, 424.83 and 180.71

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Solution

The fourth proportional to 283.47, 424.83 and 180.71 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.47 : 424.83 = 180.71 : x
  2. Step 2: Convert to fraction form
    283.47/424.83 = 180.71/x
  3. Step 3: Cross multiply
    283.47x = 424.83 × 180.71
  4. Step 4: Simplify right side
    283.47x = 76,771.03
  5. Step 5: Solve for x
    x = 76,771.03/283.47
  6. Step 6: Final answer
    x = 270.83

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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.