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Finding the Fourth Proportional to 408.84, 564.67 and 342.69

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Solution

The fourth proportional to 408.84, 564.67 and 342.69 is: 473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.84 : 564.67 = 342.69 : x
  2. Step 2: Convert to fraction form
    408.84/564.67 = 342.69/x
  3. Step 3: Cross multiply
    408.84x = 564.67 × 342.69
  4. Step 4: Simplify right side
    408.84x = 193,506.76
  5. Step 5: Solve for x
    x = 193,506.76/408.84
  6. Step 6: Final answer
    x = 473.31

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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.