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Finding the Fourth Proportional to 45.05, 62.24 and 30.53

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Solution

The fourth proportional to 45.05, 62.24 and 30.53 is: 42.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.05 : 62.24 = 30.53 : x
  2. Step 2: Convert to fraction form
    45.05/62.24 = 30.53/x
  3. Step 3: Cross multiply
    45.05x = 62.24 × 30.53
  4. Step 4: Simplify right side
    45.05x = 1,900.19
  5. Step 5: Solve for x
    x = 1,900.19/45.05
  6. Step 6: Final answer
    x = 42.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.