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Finding the Fourth Proportional to 45.12, 62.22 and 37.72

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Solution

The fourth proportional to 45.12, 62.22 and 37.72 is: 52.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.12 : 62.22 = 37.72 : x
  2. Step 2: Convert to fraction form
    45.12/62.22 = 37.72/x
  3. Step 3: Cross multiply
    45.12x = 62.22 × 37.72
  4. Step 4: Simplify right side
    45.12x = 2,346.94
  5. Step 5: Solve for x
    x = 2,346.94/45.12
  6. Step 6: Final answer
    x = 52.02

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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.