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Finding the Fourth Proportional to 409.51, 564.10 and 350.31

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Solution

The fourth proportional to 409.51, 564.10 and 350.31 is: 482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.51 : 564.10 = 350.31 : x
  2. Step 2: Convert to fraction form
    409.51/564.10 = 350.31/x
  3. Step 3: Cross multiply
    409.51x = 564.10 × 350.31
  4. Step 4: Simplify right side
    409.51x = 197,608.12
  5. Step 5: Solve for x
    x = 197,608.12/409.51
  6. Step 6: Final answer
    x = 482.55

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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.