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Finding the Fourth Proportional to 409.31, 564.98 and 278.39

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Solution

The fourth proportional to 409.31, 564.98 and 278.39 is: 384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.31 : 564.98 = 278.39 : x
  2. Step 2: Convert to fraction form
    409.31/564.98 = 278.39/x
  3. Step 3: Cross multiply
    409.31x = 564.98 × 278.39
  4. Step 4: Simplify right side
    409.31x = 157,284.80
  5. Step 5: Solve for x
    x = 157,284.80/409.31
  6. Step 6: Final answer
    x = 384.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.