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Finding the Fourth Proportional to 280.11, 419.95 and 113.32

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Solution

The fourth proportional to 280.11, 419.95 and 113.32 is: 169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.11 : 419.95 = 113.32 : x
  2. Step 2: Convert to fraction form
    280.11/419.95 = 113.32/x
  3. Step 3: Cross multiply
    280.11x = 419.95 × 113.32
  4. Step 4: Simplify right side
    280.11x = 47,587.93
  5. Step 5: Solve for x
    x = 47,587.93/280.11
  6. Step 6: Final answer
    x = 169.89

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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.