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Finding the Fourth Proportional to 409.86, 564.91 and 296.39

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Solution

The fourth proportional to 409.86, 564.91 and 296.39 is: 408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 564.91 = 296.39 : x
  2. Step 2: Convert to fraction form
    409.86/564.91 = 296.39/x
  3. Step 3: Cross multiply
    409.86x = 564.91 × 296.39
  4. Step 4: Simplify right side
    409.86x = 167,434.35
  5. Step 5: Solve for x
    x = 167,434.35/409.86
  6. Step 6: Final answer
    x = 408.52

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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.