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Finding the Fourth Proportional to 282.81, 423.91 and 109.43

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Solution

The fourth proportional to 282.81, 423.91 and 109.43 is: 164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.81 : 423.91 = 109.43 : x
  2. Step 2: Convert to fraction form
    282.81/423.91 = 109.43/x
  3. Step 3: Cross multiply
    282.81x = 423.91 × 109.43
  4. Step 4: Simplify right side
    282.81x = 46,386.35
  5. Step 5: Solve for x
    x = 46,386.35/282.81
  6. Step 6: Final answer
    x = 164.02

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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.