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Finding the Fourth Proportional to 409.66, 615.11 and 256.56

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Solution

The fourth proportional to 409.66, 615.11 and 256.56 is: 385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.66 : 615.11 = 256.56 : x
  2. Step 2: Convert to fraction form
    409.66/615.11 = 256.56/x
  3. Step 3: Cross multiply
    409.66x = 615.11 × 256.56
  4. Step 4: Simplify right side
    409.66x = 157,808.26
  5. Step 5: Solve for x
    x = 157,808.26/409.66
  6. Step 6: Final answer
    x = 385.22

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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.