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Finding the Fourth Proportional to 423.21, 583.62 and 283.33

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Solution

The fourth proportional to 423.21, 583.62 and 283.33 is: 390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.21 : 583.62 = 283.33 : x
  2. Step 2: Convert to fraction form
    423.21/583.62 = 283.33/x
  3. Step 3: Cross multiply
    423.21x = 583.62 × 283.33
  4. Step 4: Simplify right side
    423.21x = 165,357.05
  5. Step 5: Solve for x
    x = 165,357.05/423.21
  6. Step 6: Final answer
    x = 390.72

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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.