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Finding the Fourth Proportional to 385.96, 579.27 and 256.36

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Solution

The fourth proportional to 385.96, 579.27 and 256.36 is: 384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.96 : 579.27 = 256.36 : x
  2. Step 2: Convert to fraction form
    385.96/579.27 = 256.36/x
  3. Step 3: Cross multiply
    385.96x = 579.27 × 256.36
  4. Step 4: Simplify right side
    385.96x = 148,501.66
  5. Step 5: Solve for x
    x = 148,501.66/385.96
  6. Step 6: Final answer
    x = 384.76

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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.