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Finding the Fourth Proportional to 280.10, 419.83 and 125.84

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Solution

The fourth proportional to 280.10, 419.83 and 125.84 is: 188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.10 : 419.83 = 125.84 : x
  2. Step 2: Convert to fraction form
    280.10/419.83 = 125.84/x
  3. Step 3: Cross multiply
    280.10x = 419.83 × 125.84
  4. Step 4: Simplify right side
    280.10x = 52,831.41
  5. Step 5: Solve for x
    x = 52,831.41/280.10
  6. Step 6: Final answer
    x = 188.62

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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.