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Finding the Fourth Proportional to 74.25, 102.56 and 49.65

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Solution

The fourth proportional to 74.25, 102.56 and 49.65 is: 68.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 102.56 = 49.65 : x
  2. Step 2: Convert to fraction form
    74.25/102.56 = 49.65/x
  3. Step 3: Cross multiply
    74.25x = 102.56 × 49.65
  4. Step 4: Simplify right side
    74.25x = 5,091.47
  5. Step 5: Solve for x
    x = 5,091.47/74.25
  6. Step 6: Final answer
    x = 68.57

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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.