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Finding the Fourth Proportional to 282.26, 423.53 and 213.76

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Solution

The fourth proportional to 282.26, 423.53 and 213.76 is: 320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.26 : 423.53 = 213.76 : x
  2. Step 2: Convert to fraction form
    282.26/423.53 = 213.76/x
  3. Step 3: Cross multiply
    282.26x = 423.53 × 213.76
  4. Step 4: Simplify right side
    282.26x = 90,533.77
  5. Step 5: Solve for x
    x = 90,533.77/282.26
  6. Step 6: Final answer
    x = 320.75

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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.