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Finding the Fourth Proportional to 282.55, 423.54 and 109.17

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Solution

The fourth proportional to 282.55, 423.54 and 109.17 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.55 : 423.54 = 109.17 : x
  2. Step 2: Convert to fraction form
    282.55/423.54 = 109.17/x
  3. Step 3: Cross multiply
    282.55x = 423.54 × 109.17
  4. Step 4: Simplify right side
    282.55x = 46,237.86
  5. Step 5: Solve for x
    x = 46,237.86/282.55
  6. Step 6: Final answer
    x = 163.64

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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.