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Finding the Fourth Proportional to 52.05, 71.83 and 30.23

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Solution

The fourth proportional to 52.05, 71.83 and 30.23 is: 41.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.05 : 71.83 = 30.23 : x
  2. Step 2: Convert to fraction form
    52.05/71.83 = 30.23/x
  3. Step 3: Cross multiply
    52.05x = 71.83 × 30.23
  4. Step 4: Simplify right side
    52.05x = 2,171.40
  5. Step 5: Solve for x
    x = 2,171.40/52.05
  6. Step 6: Final answer
    x = 41.72

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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.