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Finding the Fourth Proportional to 303.40, 419.14 and 280.36

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Solution

The fourth proportional to 303.40, 419.14 and 280.36 is: 387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.40 : 419.14 = 280.36 : x
  2. Step 2: Convert to fraction form
    303.40/419.14 = 280.36/x
  3. Step 3: Cross multiply
    303.40x = 419.14 × 280.36
  4. Step 4: Simplify right side
    303.40x = 117,510.09
  5. Step 5: Solve for x
    x = 117,510.09/303.40
  6. Step 6: Final answer
    x = 387.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.