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Finding the Fourth Proportional to 280.40, 419.67 and 189.06

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Solution

The fourth proportional to 280.40, 419.67 and 189.06 is: 282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.40 : 419.67 = 189.06 : x
  2. Step 2: Convert to fraction form
    280.40/419.67 = 189.06/x
  3. Step 3: Cross multiply
    280.40x = 419.67 × 189.06
  4. Step 4: Simplify right side
    280.40x = 79,342.81
  5. Step 5: Solve for x
    x = 79,342.81/280.40
  6. Step 6: Final answer
    x = 282.97

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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.