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Finding the Fourth Proportional to 435.99, 654.02 and 154.53

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Solution

The fourth proportional to 435.99, 654.02 and 154.53 is: 231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.99 : 654.02 = 154.53 : x
  2. Step 2: Convert to fraction form
    435.99/654.02 = 154.53/x
  3. Step 3: Cross multiply
    435.99x = 654.02 × 154.53
  4. Step 4: Simplify right side
    435.99x = 101,064.94
  5. Step 5: Solve for x
    x = 101,064.94/435.99
  6. Step 6: Final answer
    x = 231.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.