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Finding the Fourth Proportional to 409.61, 564.72 and 339.41

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Solution

The fourth proportional to 409.61, 564.72 and 339.41 is: 467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.61 : 564.72 = 339.41 : x
  2. Step 2: Convert to fraction form
    409.61/564.72 = 339.41/x
  3. Step 3: Cross multiply
    409.61x = 564.72 × 339.41
  4. Step 4: Simplify right side
    409.61x = 191,671.62
  5. Step 5: Solve for x
    x = 191,671.62/409.61
  6. Step 6: Final answer
    x = 467.94

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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.