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Finding the Fourth Proportional to 52.15, 71.94 and 30.31

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Solution

The fourth proportional to 52.15, 71.94 and 30.31 is: 41.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.15 : 71.94 = 30.31 : x
  2. Step 2: Convert to fraction form
    52.15/71.94 = 30.31/x
  3. Step 3: Cross multiply
    52.15x = 71.94 × 30.31
  4. Step 4: Simplify right side
    52.15x = 2,180.14
  5. Step 5: Solve for x
    x = 2,180.14/52.15
  6. Step 6: Final answer
    x = 41.81

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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.