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Finding the Fourth Proportional to 281.46, 419.59 and 277.02

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Solution

The fourth proportional to 281.46, 419.59 and 277.02 is: 412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.46 : 419.59 = 277.02 : x
  2. Step 2: Convert to fraction form
    281.46/419.59 = 277.02/x
  3. Step 3: Cross multiply
    281.46x = 419.59 × 277.02
  4. Step 4: Simplify right side
    281.46x = 116,233.61
  5. Step 5: Solve for x
    x = 116,233.61/281.46
  6. Step 6: Final answer
    x = 412.97

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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.