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Finding the Fourth Proportional to 52.08, 72.26 and 51.62

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Solution

The fourth proportional to 52.08, 72.26 and 51.62 is: 71.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.08 : 72.26 = 51.62 : x
  2. Step 2: Convert to fraction form
    52.08/72.26 = 51.62/x
  3. Step 3: Cross multiply
    52.08x = 72.26 × 51.62
  4. Step 4: Simplify right side
    52.08x = 3,729.44
  5. Step 5: Solve for x
    x = 3,729.44/52.08
  6. Step 6: Final answer
    x = 71.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.