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Finding the Fourth Proportional to 127.60, 191.30 and 55.42

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Solution

The fourth proportional to 127.60, 191.30 and 55.42 is: 83.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.60 : 191.30 = 55.42 : x
  2. Step 2: Convert to fraction form
    127.60/191.30 = 55.42/x
  3. Step 3: Cross multiply
    127.60x = 191.30 × 55.42
  4. Step 4: Simplify right side
    127.60x = 10,601.09
  5. Step 5: Solve for x
    x = 10,601.09/127.60
  6. Step 6: Final answer
    x = 83.08

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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.