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Finding the Fourth Proportional to 127.77, 175.93 and 109.31

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Solution

The fourth proportional to 127.77, 175.93 and 109.31 is: 150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.77 : 175.93 = 109.31 : x
  2. Step 2: Convert to fraction form
    127.77/175.93 = 109.31/x
  3. Step 3: Cross multiply
    127.77x = 175.93 × 109.31
  4. Step 4: Simplify right side
    127.77x = 19,229.48
  5. Step 5: Solve for x
    x = 19,229.48/127.77
  6. Step 6: Final answer
    x = 150.50

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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.