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Finding the Fourth Proportional to 205.21, 307.14 and 124.21

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Solution

The fourth proportional to 205.21, 307.14 and 124.21 is: 185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.21 : 307.14 = 124.21 : x
  2. Step 2: Convert to fraction form
    205.21/307.14 = 124.21/x
  3. Step 3: Cross multiply
    205.21x = 307.14 × 124.21
  4. Step 4: Simplify right side
    205.21x = 38,149.86
  5. Step 5: Solve for x
    x = 38,149.86/205.21
  6. Step 6: Final answer
    x = 185.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.