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Finding the Fourth Proportional to 549.31, 823.51 and 256.66

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Solution

The fourth proportional to 549.31, 823.51 and 256.66 is: 384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.31 : 823.51 = 256.66 : x
  2. Step 2: Convert to fraction form
    549.31/823.51 = 256.66/x
  3. Step 3: Cross multiply
    549.31x = 823.51 × 256.66
  4. Step 4: Simplify right side
    549.31x = 211,362.73
  5. Step 5: Solve for x
    x = 211,362.73/549.31
  6. Step 6: Final answer
    x = 384.78

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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.