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Finding the Fourth Proportional to 74.25, 102.49 and 41.51

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Solution

The fourth proportional to 74.25, 102.49 and 41.51 is: 57.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 102.49 = 41.51 : x
  2. Step 2: Convert to fraction form
    74.25/102.49 = 41.51/x
  3. Step 3: Cross multiply
    74.25x = 102.49 × 41.51
  4. Step 4: Simplify right side
    74.25x = 4,254.51
  5. Step 5: Solve for x
    x = 4,254.51/74.25
  6. Step 6: Final answer
    x = 57.30

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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.