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Finding the Fourth Proportional to 280.08, 419.85 and 135.63

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Solution

The fourth proportional to 280.08, 419.85 and 135.63 is: 203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.08 : 419.85 = 135.63 : x
  2. Step 2: Convert to fraction form
    280.08/419.85 = 135.63/x
  3. Step 3: Cross multiply
    280.08x = 419.85 × 135.63
  4. Step 4: Simplify right side
    280.08x = 56,944.26
  5. Step 5: Solve for x
    x = 56,944.26/280.08
  6. Step 6: Final answer
    x = 203.31

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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.