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Finding the Fourth Proportional to 423.39, 583.89 and 283.44

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Solution

The fourth proportional to 423.39, 583.89 and 283.44 is: 390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.39 : 583.89 = 283.44 : x
  2. Step 2: Convert to fraction form
    423.39/583.89 = 283.44/x
  3. Step 3: Cross multiply
    423.39x = 583.89 × 283.44
  4. Step 4: Simplify right side
    423.39x = 165,497.78
  5. Step 5: Solve for x
    x = 165,497.78/423.39
  6. Step 6: Final answer
    x = 390.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.