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Finding the Fourth Proportional to 423.38, 583.97 and 283.43

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Solution

The fourth proportional to 423.38, 583.97 and 283.43 is: 390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.38 : 583.97 = 283.43 : x
  2. Step 2: Convert to fraction form
    423.38/583.97 = 283.43/x
  3. Step 3: Cross multiply
    423.38x = 583.97 × 283.43
  4. Step 4: Simplify right side
    423.38x = 165,510.28
  5. Step 5: Solve for x
    x = 165,510.28/423.38
  6. Step 6: Final answer
    x = 390.93

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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.