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Finding the Fourth Proportional to 280.63, 420.94 and 109.63

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Solution

The fourth proportional to 280.63, 420.94 and 109.63 is: 164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.63 : 420.94 = 109.63 : x
  2. Step 2: Convert to fraction form
    280.63/420.94 = 109.63/x
  3. Step 3: Cross multiply
    280.63x = 420.94 × 109.63
  4. Step 4: Simplify right side
    280.63x = 46,145.55
  5. Step 5: Solve for x
    x = 46,145.55/280.63
  6. Step 6: Final answer
    x = 164.44

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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.