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Finding the Fourth Proportional to 127.50, 191.12 and 46.28

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Solution

The fourth proportional to 127.50, 191.12 and 46.28 is: 69.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.50 : 191.12 = 46.28 : x
  2. Step 2: Convert to fraction form
    127.50/191.12 = 46.28/x
  3. Step 3: Cross multiply
    127.50x = 191.12 × 46.28
  4. Step 4: Simplify right side
    127.50x = 8,845.03
  5. Step 5: Solve for x
    x = 8,845.03/127.50
  6. Step 6: Final answer
    x = 69.37

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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.