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Finding the Fourth Proportional to 451.17, 676.76 and 256.05

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Solution

The fourth proportional to 451.17, 676.76 and 256.05 is: 384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.17 : 676.76 = 256.05 : x
  2. Step 2: Convert to fraction form
    451.17/676.76 = 256.05/x
  3. Step 3: Cross multiply
    451.17x = 676.76 × 256.05
  4. Step 4: Simplify right side
    451.17x = 173,283.12
  5. Step 5: Solve for x
    x = 173,283.12/451.17
  6. Step 6: Final answer
    x = 384.08

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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.