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Finding the Fourth Proportional to 282.23, 423.02 and 213.53

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Solution

The fourth proportional to 282.23, 423.02 and 213.53 is: 320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.23 : 423.02 = 213.53 : x
  2. Step 2: Convert to fraction form
    282.23/423.02 = 213.53/x
  3. Step 3: Cross multiply
    282.23x = 423.02 × 213.53
  4. Step 4: Simplify right side
    282.23x = 90,324.28
  5. Step 5: Solve for x
    x = 90,324.28/282.23
  6. Step 6: Final answer
    x = 320.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.