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Finding the Fourth Proportional to 283.16, 423.84 and 257.42

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Solution

The fourth proportional to 283.16, 423.84 and 257.42 is: 385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.16 : 423.84 = 257.42 : x
  2. Step 2: Convert to fraction form
    283.16/423.84 = 257.42/x
  3. Step 3: Cross multiply
    283.16x = 423.84 × 257.42
  4. Step 4: Simplify right side
    283.16x = 109,104.89
  5. Step 5: Solve for x
    x = 109,104.89/283.16
  6. Step 6: Final answer
    x = 385.31

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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.