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Finding the Fourth Proportional to 281.35, 419.80 and 235.79

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Solution

The fourth proportional to 281.35, 419.80 and 235.79 is: 351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.35 : 419.80 = 235.79 : x
  2. Step 2: Convert to fraction form
    281.35/419.80 = 235.79/x
  3. Step 3: Cross multiply
    281.35x = 419.80 × 235.79
  4. Step 4: Simplify right side
    281.35x = 98,983.29
  5. Step 5: Solve for x
    x = 98,983.29/281.35
  6. Step 6: Final answer
    x = 351.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.