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Finding the Fourth Proportional to 45.33, 62.51 and 30.75

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Solution

The fourth proportional to 45.33, 62.51 and 30.75 is: 42.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.33 : 62.51 = 30.75 : x
  2. Step 2: Convert to fraction form
    45.33/62.51 = 30.75/x
  3. Step 3: Cross multiply
    45.33x = 62.51 × 30.75
  4. Step 4: Simplify right side
    45.33x = 1,922.03
  5. Step 5: Solve for x
    x = 1,922.03/45.33
  6. Step 6: Final answer
    x = 42.40

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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.