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Finding the Fourth Proportional to 283.04, 422.60 and 251.04

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Solution

The fourth proportional to 283.04, 422.60 and 251.04 is: 374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.04 : 422.60 = 251.04 : x
  2. Step 2: Convert to fraction form
    283.04/422.60 = 251.04/x
  3. Step 3: Cross multiply
    283.04x = 422.60 × 251.04
  4. Step 4: Simplify right side
    283.04x = 106,089.50
  5. Step 5: Solve for x
    x = 106,089.50/283.04
  6. Step 6: Final answer
    x = 374.82

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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.