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Finding the Fourth Proportional to 369.80, 557.20 and 306.21

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Solution

The fourth proportional to 369.80, 557.20 and 306.21 is: 461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.80 : 557.20 = 306.21 : x
  2. Step 2: Convert to fraction form
    369.80/557.20 = 306.21/x
  3. Step 3: Cross multiply
    369.80x = 557.20 × 306.21
  4. Step 4: Simplify right side
    369.80x = 170,620.21
  5. Step 5: Solve for x
    x = 170,620.21/369.80
  6. Step 6: Final answer
    x = 461.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.