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Finding the Fourth Proportional to 492.59, 738.89 and 127.38

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Solution

The fourth proportional to 492.59, 738.89 and 127.38 is: 191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.59 : 738.89 = 127.38 : x
  2. Step 2: Convert to fraction form
    492.59/738.89 = 127.38/x
  3. Step 3: Cross multiply
    492.59x = 738.89 × 127.38
  4. Step 4: Simplify right side
    492.59x = 94,119.81
  5. Step 5: Solve for x
    x = 94,119.81/492.59
  6. Step 6: Final answer
    x = 191.07

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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.