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Finding the Fourth Proportional to 213.98, 320.90 and 127.35

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Solution

The fourth proportional to 213.98, 320.90 and 127.35 is: 190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.98 : 320.90 = 127.35 : x
  2. Step 2: Convert to fraction form
    213.98/320.90 = 127.35/x
  3. Step 3: Cross multiply
    213.98x = 320.90 × 127.35
  4. Step 4: Simplify right side
    213.98x = 40,865.98
  5. Step 5: Solve for x
    x = 40,865.98/213.98
  6. Step 6: Final answer
    x = 190.98

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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.