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Finding the Fourth Proportional to 283.10, 419.42 and 272.30

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Solution

The fourth proportional to 283.10, 419.42 and 272.30 is: 403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 419.42 = 272.30 : x
  2. Step 2: Convert to fraction form
    283.10/419.42 = 272.30/x
  3. Step 3: Cross multiply
    283.10x = 419.42 × 272.30
  4. Step 4: Simplify right side
    283.10x = 114,208.07
  5. Step 5: Solve for x
    x = 114,208.07/283.10
  6. Step 6: Final answer
    x = 403.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.