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Finding the Fourth Proportional to 281.42, 424.29 and 255.30

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Solution

The fourth proportional to 281.42, 424.29 and 255.30 is: 384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.42 : 424.29 = 255.30 : x
  2. Step 2: Convert to fraction form
    281.42/424.29 = 255.30/x
  3. Step 3: Cross multiply
    281.42x = 424.29 × 255.30
  4. Step 4: Simplify right side
    281.42x = 108,321.24
  5. Step 5: Solve for x
    x = 108,321.24/281.42
  6. Step 6: Final answer
    x = 384.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.