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Finding the Fourth Proportional to 409.06, 564.54 and 232.05

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Solution

The fourth proportional to 409.06, 564.54 and 232.05 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.06 : 564.54 = 232.05 : x
  2. Step 2: Convert to fraction form
    409.06/564.54 = 232.05/x
  3. Step 3: Cross multiply
    409.06x = 564.54 × 232.05
  4. Step 4: Simplify right side
    409.06x = 131,001.51
  5. Step 5: Solve for x
    x = 131,001.51/409.06
  6. Step 6: Final answer
    x = 320.25

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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.