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Finding the Fourth Proportional to 52.02, 78.42 and 49.97

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Solution

The fourth proportional to 52.02, 78.42 and 49.97 is: 75.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.02 : 78.42 = 49.97 : x
  2. Step 2: Convert to fraction form
    52.02/78.42 = 49.97/x
  3. Step 3: Cross multiply
    52.02x = 78.42 × 49.97
  4. Step 4: Simplify right side
    52.02x = 3,918.26
  5. Step 5: Solve for x
    x = 3,918.26/52.02
  6. Step 6: Final answer
    x = 75.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.