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Finding the Fourth Proportional to 283.88, 423.51 and 256.54

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Solution

The fourth proportional to 283.88, 423.51 and 256.54 is: 382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.88 : 423.51 = 256.54 : x
  2. Step 2: Convert to fraction form
    283.88/423.51 = 256.54/x
  3. Step 3: Cross multiply
    283.88x = 423.51 × 256.54
  4. Step 4: Simplify right side
    283.88x = 108,647.16
  5. Step 5: Solve for x
    x = 108,647.16/283.88
  6. Step 6: Final answer
    x = 382.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.