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Finding the Fourth Proportional to 328.64, 490.66 and 282.80

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Solution

The fourth proportional to 328.64, 490.66 and 282.80 is: 422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.64 : 490.66 = 282.80 : x
  2. Step 2: Convert to fraction form
    328.64/490.66 = 282.80/x
  3. Step 3: Cross multiply
    328.64x = 490.66 × 282.80
  4. Step 4: Simplify right side
    328.64x = 138,758.65
  5. Step 5: Solve for x
    x = 138,758.65/328.64
  6. Step 6: Final answer
    x = 422.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.