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Finding the Fourth Proportional to 283.28, 423.80 and 191.52

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Solution

The fourth proportional to 283.28, 423.80 and 191.52 is: 286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.28 : 423.80 = 191.52 : x
  2. Step 2: Convert to fraction form
    283.28/423.80 = 191.52/x
  3. Step 3: Cross multiply
    283.28x = 423.80 × 191.52
  4. Step 4: Simplify right side
    283.28x = 81,166.18
  5. Step 5: Solve for x
    x = 81,166.18/283.28
  6. Step 6: Final answer
    x = 286.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.