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Finding the Fourth Proportional to 408.45, 560.67 and 359.28

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Solution

The fourth proportional to 408.45, 560.67 and 359.28 is: 493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.45 : 560.67 = 359.28 : x
  2. Step 2: Convert to fraction form
    408.45/560.67 = 359.28/x
  3. Step 3: Cross multiply
    408.45x = 560.67 × 359.28
  4. Step 4: Simplify right side
    408.45x = 201,437.52
  5. Step 5: Solve for x
    x = 201,437.52/408.45
  6. Step 6: Final answer
    x = 493.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.