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Finding the Fourth Proportional to 299.53, 448.53 and 162.33

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Solution

The fourth proportional to 299.53, 448.53 and 162.33 is: 243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.53 : 448.53 = 162.33 : x
  2. Step 2: Convert to fraction form
    299.53/448.53 = 162.33/x
  3. Step 3: Cross multiply
    299.53x = 448.53 × 162.33
  4. Step 4: Simplify right side
    299.53x = 72,809.87
  5. Step 5: Solve for x
    x = 72,809.87/299.53
  6. Step 6: Final answer
    x = 243.08

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Why These Related Problems?

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