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Finding the Fourth Proportional to 281.48, 419.06 and 280.13

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Solution

The fourth proportional to 281.48, 419.06 and 280.13 is: 417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.48 : 419.06 = 280.13 : x
  2. Step 2: Convert to fraction form
    281.48/419.06 = 280.13/x
  3. Step 3: Cross multiply
    281.48x = 419.06 × 280.13
  4. Step 4: Simplify right side
    281.48x = 117,387.78
  5. Step 5: Solve for x
    x = 117,387.78/281.48
  6. Step 6: Final answer
    x = 417.05

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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.