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Finding the Fourth Proportional to 45.30, 62.51 and 30.74

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Solution

The fourth proportional to 45.30, 62.51 and 30.74 is: 42.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.30 : 62.51 = 30.74 : x
  2. Step 2: Convert to fraction form
    45.30/62.51 = 30.74/x
  3. Step 3: Cross multiply
    45.30x = 62.51 × 30.74
  4. Step 4: Simplify right side
    45.30x = 1,921.09
  5. Step 5: Solve for x
    x = 1,921.09/45.30
  6. Step 6: Final answer
    x = 42.41

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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.