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Finding the Fourth Proportional to 52.50, 72.44 and 31.78

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Solution

The fourth proportional to 52.50, 72.44 and 31.78 is: 43.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.50 : 72.44 = 31.78 : x
  2. Step 2: Convert to fraction form
    52.50/72.44 = 31.78/x
  3. Step 3: Cross multiply
    52.50x = 72.44 × 31.78
  4. Step 4: Simplify right side
    52.50x = 2,302.14
  5. Step 5: Solve for x
    x = 2,302.14/52.50
  6. Step 6: Final answer
    x = 43.85

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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.