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Finding the Fourth Proportional to 283.57, 390.42 and 221.32

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Solution

The fourth proportional to 283.57, 390.42 and 221.32 is: 304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.57 : 390.42 = 221.32 : x
  2. Step 2: Convert to fraction form
    283.57/390.42 = 221.32/x
  3. Step 3: Cross multiply
    283.57x = 390.42 × 221.32
  4. Step 4: Simplify right side
    283.57x = 86,407.75
  5. Step 5: Solve for x
    x = 86,407.75/283.57
  6. Step 6: Final answer
    x = 304.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.