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Finding the Fourth Proportional to 52.12, 71.97 and 38.38

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Solution

The fourth proportional to 52.12, 71.97 and 38.38 is: 53.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.12 : 71.97 = 38.38 : x
  2. Step 2: Convert to fraction form
    52.12/71.97 = 38.38/x
  3. Step 3: Cross multiply
    52.12x = 71.97 × 38.38
  4. Step 4: Simplify right side
    52.12x = 2,762.21
  5. Step 5: Solve for x
    x = 2,762.21/52.12
  6. Step 6: Final answer
    x = 53.00

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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.