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Finding the Fourth Proportional to 281.55, 424.09 and 256.03

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Solution

The fourth proportional to 281.55, 424.09 and 256.03 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.55 : 424.09 = 256.03 : x
  2. Step 2: Convert to fraction form
    281.55/424.09 = 256.03/x
  3. Step 3: Cross multiply
    281.55x = 424.09 × 256.03
  4. Step 4: Simplify right side
    281.55x = 108,579.76
  5. Step 5: Solve for x
    x = 108,579.76/281.55
  6. Step 6: Final answer
    x = 385.65

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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.