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Finding the Fourth Proportional to 283.28, 421.54 and 272.34

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Solution

The fourth proportional to 283.28, 421.54 and 272.34 is: 405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.28 : 421.54 = 272.34 : x
  2. Step 2: Convert to fraction form
    283.28/421.54 = 272.34/x
  3. Step 3: Cross multiply
    283.28x = 421.54 × 272.34
  4. Step 4: Simplify right side
    283.28x = 114,802.20
  5. Step 5: Solve for x
    x = 114,802.20/283.28
  6. Step 6: Final answer
    x = 405.26

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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.