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Finding the Fourth Proportional to 283.62, 423.02 and 251.50

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Solution

The fourth proportional to 283.62, 423.02 and 251.50 is: 375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.62 : 423.02 = 251.50 : x
  2. Step 2: Convert to fraction form
    283.62/423.02 = 251.50/x
  3. Step 3: Cross multiply
    283.62x = 423.02 × 251.50
  4. Step 4: Simplify right side
    283.62x = 106,387.41
  5. Step 5: Solve for x
    x = 106,387.41/283.62
  6. Step 6: Final answer
    x = 375.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.